Can someone show me the steps to solving this
(Rationalizing Denominator)

Can Someone Show Me The Steps To Solving This (Rationalizing Denominator)

Answers

Answer 1

Answer:

[tex] \huge \purple {\frac{2 \sqrt[3]{6} + \sqrt[3]{18} }{ 6} }[/tex]

Step-by-step Explanation:

[tex] \huge \frac{2 + \sqrt[3]{3} }{ \sqrt[3]{6} } \\ \\ = \huge \frac{(2 + \sqrt[3]{3} )}{ \sqrt[3]{6} } \times \frac{ \sqrt[3]{6} \times \sqrt[3]{6} }{\sqrt[3]{6} \times \sqrt[3]{6}} \\ \\ = \huge \frac{(2 + \sqrt[3]{3} )}{ \sqrt[3]{6} } \times \frac{ \sqrt[3]{6 ^{2} } }{\sqrt[3]{6^{2}} } \\ \\ = \huge \frac{(2 + \sqrt[3]{3} )\sqrt[3]{6} }{ \sqrt[3]{6} \times \sqrt[3]{6 ^{2} }} \\ \\ = \huge \frac{(2 \sqrt[3]{6} + \sqrt[3]{3} \sqrt[3]{6} )}{ \sqrt[3]{6 ^{3} }} \\ \\ = \huge \orange{\frac{2 \sqrt[3]{6} + \sqrt[3]{18} }{ 6} }[/tex]


Related Questions

Find (4.2) x (1.6) by drawing an area diagram or using another method. Show your reasoning. Pleae answer this I really need help. PLZ

Answers

Answer:

the answer is 6.72

Step-by-step explanation:

Instead of a diagram you can do 4.2 times 1.6 and after you finishes doing that You put the decimal 2 times and you should get 6.72

The answer is 6.72

What is area diagram method?

The length and width of a rectangle are defined by the factors being multiplied in an area model, which is a rectangular diagram used in mathematics to solve multiplication problems. Therefore, the area of the rectangle is the product. Subsequently, it is known as the "Region model for augmentation".

Given (4.2) x (1.6)

by area drawing method make an rectangle of 4.2 and 1.6 units and make perpendicular lines at distance of 4 units and 1 units on length and breadth, the rest distance will be 0.6 and 0.2 units, now we have four different rectangles as shown in image now find area of each rectangle and add all the areas.

area of rectangle 1 = 4 x 1 = 4

area of rectangle 2 = 1 x 0.2 = 0.2

area of rectangle 3 = 4 x 0.6 = 2.4

area of rectangle 4 = 0.2 x 0.6 = 0.12

total area = 4 + 0.2 + 2.4 + 0.12

total area = 6.72

Hence  (4.2) x (1.6) = 6.72

Learn more about area diagram method;

https://brainly.com/question/27021517

#SPJ2

I'm confused can someone maybe help me? (Picture below)

Answers

Answer:

hlo ji good evening ji please follow me

The winning time for a race are shown in the table.

Which answer describes the average rate of change from year 2 to year 4?

A) the winning time increased by an average of 0.4 second per year from year 2 to year 4.

B) the winning increased by an average of 0.8 second per year from year 2 to year 4.

C) the winning time increased by an average of 0.475 second per year from year 2 to year 4.

D) the winning time increased by an average of 0.267 second per year from year 2 to year 4.

Answers

Answer:

The winning time increased by an average of 0.4 second per year from year 2 to year 4.

Step-by-step explanation:

I just took the quiz

The winning time for a race displayed in the table would be:

A). The winning time increased by an average of 0.4 seconds per year from year 2 to year 4.

Find the increase in winning time:

Given that,

Year                             Winning Time(seconds)

1                                          27.5

2                                         28.4

3                                         28.7

4                                         29.2

5                                         29.44

The total change in the time = (0. + 0.3 + 0.5 + 0.24)/4

= 0.485 seconds

If we round off, it becomes 0.5 seconds.

Therefore, it can be considered that an average of 0.5 seconds changes every year from year 2 to 4.

Thus, option A is the correct answer.

Learn more about "Time" here:

brainly.com/question/26941752

y=7x-3. y=-7x+3

What type of solution is this?

Answers

one solution: (3/7, 0)

Choose an algebraic expression for: 9 more than w

Group of answer choices

A. w +9

B. 9-w

C. w/ 9

D. 9w

Answers

The answer is a.w+9 because it means the w plus 9 more it the same as 9 more than w

What do i do if i need to round to the thousandth place but only have a tenth place? for example round 18.3 to the nearest hundredth. Can I even do it? ​

Answers

Answer:

yes you can

Step-by-step explanation:

if you rounded 18.3 to the tenth it would be 183 and if you rounded it to the hundreds it would be 1,830

A dolphin in an aquarium is 12 feet long. A scale model of the dolphin is 3 1/2 inches long. What is the scale factor of the model?

Answers

Answer:

3 3/7

Step-by-step explanation:

12 / 3 1/2 = 12 / 3.5 = 24/7 = 3.42857142857 = 3 3/7

Kane is training for a marathon. He starts by running 3 miles during every training session. Each week plans to increase the distance of his run by 1/4 mile.

Answers

Answer:

where is the rest of the question

Step-by-step explanation:

Answer: look at the picture

Step-by-step explanation: Hope this help

Solve for the missing side, then give each trig ratio a fraction in simplest form​

Answers

Answer: sin L= 3 cos L= 3 tan L= 3 sin M= 5 cos M= 5 tan M= 5

Step-by-step explanation:

im just like that

652 students attend Tippett Middle School. 49% live less than three miles from school. About how many students is this? Round your answer to the nearest WHOLE NUMBER.

Answers

Answer: 319 students

Step-by-step explanation:

There are 652 kids and 49% of them live less than three miles from school.

In a whole number this will be:

= 49% * 652

= 49/100 * 652

= 319.48

= 319 students

If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a two?

Answers

Answer:The best prediction is 1/6 of the times or one time of the six that you will roll a two..

This is because without any interference, each of the six numbers of the dice will have same theoretical probability (which is the probability or chances that is expected.

Which set of ordered pairs (x, y) could represent a linear function?
A = {(0,-5), (3,-2), (6,0), (9,3)}
B = {(-7,5), (-5,4), (1,1), (5, -1)}
C = {(-7,-4), (0, -1), (4,1), (6,2)}
D = {(-2,3), (0,2), (2,0), (4, -2)}
which on is the right answer?

Answers

Answer:

A.

Step-by-step explanation:

Graphed them

i hope this helps :)

plz help i will give brainliest

Answers

Answer:

113°

Step-by-step explanation:

53+6+8= 67

180-67=113

20% of _ =240?
130 of _ =117?

Answers

Answer:

1. 48

2. 152.1 ❤️❤️

Can someone answer this question please ASAP

Answers

Answer:

x = 2

Step-by-step explanation:

Chris has a job selling newspapers every morning. He received a base pay of $7.45 a day and also gets 15 cents for every paper he sells. One morning he made $16.45. How many papers did he sell?

Answers

16.45-7.45=9
9/0.15=60

Task 4:

A carnival attraction tests your strength by how far in the air

you can drive a weight with a hammer. If the weight

reaches 15 feet you win a prize! The equation

h = -1612 + 317 + 2 gives the height h of the weight t seconds

after you hit it.

A: How long is the weight moving?

B: What was the weight's maximum height?

C: Did you win a prize? How do you know?

Answers

B i think i am sorry if it is not right but i am pretty sure i am right tho

Identify the slope in the equation y= x - 2

Answers

Answer:

The slope-intercrept from y is = mx+b, where m is the slope and b is the y-intercrept

Step-by-step explanation:

y=x-2

Lin solve the equation 8(x - 3) + 7= 2 x (4 - 17) incorrectly find the errors in her solution what should her answer have been​

Answers

Answer:

x = -9/8

Step-by-step explanation:

What is the y-intercept, b, of the additive relationship represented by this table?

Enter your answer as an integer in the box.

b =
x y
1 4
3 6

Answers

Answer:

b = 3

Step-by-step explanation:

Use the table to find the slope and y-intercept

Find the slope:

m = (6 - 4)/(3 - 1) = 2/2 = 1

Find b using the pair (1, 4):

4 = 1*1 + bb = 4 - 1b = 3

The line is:

y = x + 3

The y-intercept is 3

Answer:

b = 3

Step-by-step explanation:

At a​ little-known vacation​ spot, taxi fares are a bargain. A 14-mile taxi ride takes 16 minutes and costs $11.20. You want to find the cost of a ​37-mile taxi ride. What unit price do you​ need?

Answers

Answer:

$29.60

Step-by-step explanation:

$11.20/14 miles = $0.80 per mile

$0.80 x 37 = $29.60

Answer:

$29.60 is the correct answer hope this helps

Oliver buys 4 pineapples. Each pineapple is
$2 off the original price. He pays $4. What is
the original price of a pineapple?

Answers

Answer:

hello

Step-by-step explanation:

The original price i 1 dollar

If an orange is 14cm in diameter.if 3/7 of it is juice,what volume of juice can you get from 5 such oranges.

(Pie=22/7)

Answers

Answer:

3079.5 cm^3

Step-by-step explanation:

We need to find the volume of the orange using the volume of a sphere formula V= 4/3 (π)(r^3). So we plug in the numbers V= 4/3 (22/7) (7^3) and solve. Simple simply the exponent and multiply everything. V= 4/3 (22/7) (343)= 1437 cm^3. Then we take 3/7 from the volume to focus on the juice. 1437(3/7) = 615.9 cm^3. Then multiply by five to find the volume of juice from 5 oranges. 615.9(5)= 3079.5 cm^3

Convert 2,000 cm to kilometers.
* fraction form *

Answers

Answer:

1/50

Step-by-step explanation:

PLEASEEE HELP MEEEEE EASY 10 POINTSSS

Answers

3x-y+3=0............

Answer:

y = -3x + 3

Hope this helps, thank you !!

What is the value of
-7 3/5+ -5 4/7


Answers

Answer:

-13 6/35

Step-by-step explanation:

-13 6/35 hope this helped

What is the answer to 908 x 49

Answers

Answer:

44,492

Step-by-step explanation:

Hope this helped! ༼ つ ◕^◕ ༽つ

Answer:

44,492

Step-by-step explanation:

908 x 49 = 44,492

Hope this helps!

Ciara is making a new dance outfit. She needs 2 1/2 yards of fabric for the shawl. She needs 1 3/4 yards of fabric for the dress. If she has 3 yards of fabric, how much more does she need. If each yards of fabric cost 7.98, How much money does she need.

Answers

Answer: See explanation

Step-by-step explanation:

Amount of yards of fabric for the shawl = 2 1/2

Amount of yards of fabric for the dress = 1 3/4

Total amount of yards needed

= 2 1/2 + 1 3/4

= 2 2/4 + 1 3/4

= 3 5/4

= 3 + 1 1/4

= 4 1/4

Since she has 3 yards of fabric, the number of yards needed more will be:

= 4 1/4 - 3

= 1 1/4

If each yard = 7.98, the amount needed will be:

= 1 1/4 × 7.98

= 1.25 × 7.98

= 9.975

Find a value for n that makes the statement true.

n÷4>1

Answers

Answer:

N= 2, 12, 16, 20....

Step-by-step explanation:

Answer:

n>4

Step-by-step explanation:

n÷4>1

Write the divison as a fraction

1/4n>1

Multiply both sides of inequality by 4

n>4


Marissa climbs a vertical ladder to go down a slide. The slide makes a 25° angle with
the ground. If the ladder is 12 ft tall, what is the length of the slide?

Answers

Answer:

28.39 ft

Step-by-step explanation:

The ladder is the vertical leg and the slide is the hypotenuse of the triangle formed.

The angle opposite the ladder is 25°, slide has the length of x.

sin 25° = opposite/hypotenusesin 25° = 12/xx = 12/sin 25°x = 28.39 ft
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