6-√8 divide √2-1
this is rationalising surd question I did it and my answer is not right so could someone do this to me and show your working out
thanks

Answers

Answer 1

Answer:

4[tex]\sqrt{2}[/tex]  +2

Step-by-step explanation:

[tex]\frac{6-\sqrt{8}}{\sqrt{2}-1}[/tex]

=[tex]\frac{6-\sqrt{8}}{\sqrt{2}-1}[/tex] ×[tex]\frac{\sqrt{2}+1}{\sqrt{2}+1}[/tex]

=[tex]\frac{(6-\sqrt{8})(\sqrt{2}+1)}{2-1}[/tex]

=6[tex]\sqrt{2}[/tex] + 6 -[tex]\sqrt{8}\sqrt{2}[/tex] - [tex]\sqrt{8}[/tex]

=6[tex]\sqrt{2}[/tex] + 6 - 4 - [tex]\sqrt{8}[/tex]

=6[tex]\sqrt{2}[/tex] + 2 - [tex]\sqrt{8}[/tex]

=6[tex]\sqrt{2}[/tex] + 2 - 2

=4[tex]\sqrt{2}[/tex]  +2

for [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex] ,

[tex]\sqrt{8}[/tex] = [tex]\sqrt{2*2*2}[/tex]

     = ([tex]\sqrt{2}[/tex])^2 × [tex]\sqrt{2}[/tex]

     =2 ×[tex]\sqrt{2}[/tex]


Related Questions

Mark paid $54.60 to fill his car's gas tank. The gas tank was empty and the cost of gasoline was $3.90 per gallon.

Answers

54.60/3.90=14
Mark’s gas tank will fill up with 14 gallons of gas.

an amusement park sold 46 child tickets. The other 4 tickets it sold were adult tickets. What is the ratio of the number of adult tickets to the number of child tickets? Select all correct ratios

Answers

Answer:

2:46

1:23

Step-by-step explanation:

You bike 11.2 miles in 1.4 hours at a steady rate what equation represents to proportional relationship between the X ours your bike in the distance y in miles that you travel

Answers

Please don't just copy and paste or click an answer! PLEASE READ! I spend 14 minutes and I at least want you to read it!

11.2 * 1.4 = 15.68

Mark me brainliest if you can!

4x−2​(x−4​)=−3+4x+5 please I need help

Answers

Answer:

x=3

Step-by-step explanation:

4x−2(x−4)=−3+4x+5

4x+(−2)(x)+(−2)(−4)=−3+4x+5

4x+−2x+8=−3+4x+5

(4x+−2x)+(8)=(4x)+(−3+5)

2x+8=4x+2

2x+8−4x=4x+2−4x

−2x+8=2

−2x+8−8=2−8

−2x=−6

−2x /−2 = −6 /−2

x=3

X is 3................

What is the scientific notation of 0.00802

Answers

Answer:

8.02 × 10-³

Step-by-step explanation:

23) You are late for work. You have two options for getting to work. You may take the bus which takes on average 40 minutes with a standard deviation of 12 minutes. Or you can cycle which takes on average 50 minutes with a standard deviation of 2 minutes. Compare these two distributions.
You leave your house at 8.05 am and are supposed to start work at 9.00 am.

Which option would you choose if you will be fired if you are even a few minutes late?​

Answers

Answer:

either of them because you wont be late because it only takes 52 minutes for both

Step-by-step explanation:

because

Which is the equation of a line that is perpendicular to the line
y
=

5
x
+
11
?

Answers

Answer:

y=1/5x

Step-by-step explanation:

hopefully that helped

(8x+1)÷5=3x-6

find x

Answers

Answer:

31/7

Step-by-step explanation:

8x+1 = 15x-30

31 = 7x

(31/7) = x

Answer:

8x + 1 =3x-6

--------

5

8x+1=15x-30

8x-15x= -30-1

-7x=-31

x=31

---

7

x=4.42

Find the equation of the tangent line to the function f(x) = 3x3 - x + 2 at a =0

Answers

Answer:

y=(9a^2-1)x-6a^3+2

Step-by-step explanation:

Which of these is an example of driving at an average rate of 20 miles per hour?
driving 10 miles in 2 hours
O driving 25 miles in 5 hours
O driving 15 miles in 5 hours
driving 40 miles in 2 hours

Answers

Answer:

driving 40 miles in 2 hours

CAN SOMEBODY PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x-intercept=-2

y-intercept=3

Create the f(x) function based on the table. Answer should be in function notation

Answers

Answer:

It will be

f(x)=x+4

One of the objectives for this lesson is to find the length of a curve using the z score.

True
False​

Answers

Answer:

true

Step-by-step explanation:

Find the values of a and b so that the linear system has the given solution.
Given Solution: (2, 1)
Equation 1: ax - by'= 4
Equation 2: bx - ay = 10

Answers

Answer:

The values are a=6, b=8

Step-by-step explanation:

System of Equations

We are given the system of equations:

ax - by = 4

bx - ay = 10

And it's known the solutions are: x=2, y=1.

Plugging in the solutions:

2a - b = 4      [1]

2b - a = 10      [2]

Now we have to solve the system above. Multiply [1] by 2:

4a - 2b = 8

Now we add with [2]:

3a = 18

a = 18/3 = 6

a = 6

From [2]:

2b - 6 = 10

2b = 16

b = 16/2 = 8

b = 8

The values are a=6, b=8

Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?

Answers

Answer:

X=1 = i√19        Put a vertical line through the second = sign

Step-by-step explanation:

when writing this .....put a line under all the + signs 0k and / is divided by 2

2 + √4-4(1)(20)

2 + √4-80 /2

x=2 +√76/2

x=2 +2i√19    the twos cancel out

1 +i√19

Determine the quotient of 1 and 2 over 3 divided by 4 over 5 . (2 points)

1 and 1 over 3
1 and 8 over 15
2 and 1 over 12
2 and 5 over 6

Answers

Answer:

2 and 1 over 12

Step-by-step explanation:

[tex]1 \frac{2}{3} \div \frac{4}{5} \\ \\ = \frac{1 \times 3 + 2}{3} \div \frac{4}{5} \\ \\ = \frac{5}{3} \times \frac{5}{4} \\ \\ = \frac{25}{12} \\ \\ = 2 \frac{1}{12} \\ [/tex]

I need help please.Please

Answers

Answer:

Store A

Step-by-step explanation:

Store A

50/100=0.5

0.5×5=2.5

The watch will be 50-2.5=47.5

Store B

60/100=0.6

0.6×20=12

The watch will be 60-12=48

So the watch price in store A is better

Answer:

You should buy from Store A because you're paying $0.50 less than if you were to buy from Store B.

Step-by-step explanation:

First, don't subtract if it's a percentage. You will want to multiply to get the amount you're removing from the original price.

Let's look at Store A. $50 and 5% discount. 50 * 0.05 = 2.5. Remove 2.5 from 50.

50 - 2.5 = 47.5

When you buy from Store A, you will pay $47.5

Let's look at Store B. $60 and 20% discount. 60 * 0.20 = 12. Remove 12 from 60.

60 - 12 = 48

When you buy from Store B, you will pay $48

Ultimately, Store A is the best option because you're paying less.

1 over 4 as a decimal

Answers

Hey there!

If you want to CONVERT a FRACTION INTO a DECIMAL , all you have to do is this SIMPLE step!

Which is to DIVIDE the NUMERATOR from the DENOMINATOR

The numerator is the TOP number

The denominator is the BOTTOM number

Now let’s solve for your answer

1/4 = 0.25 because 0.25 • 4 = 1

Answer: 0.25 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Is 413.25 a whole number

Answers

Answer:

No

Step-by-step explanation:

Whole numbers do not have decimals

No. Any integer with a decimal and numbers that aren’t 0 after it is not a whole number. 6.0 is a whole number but 6.73 is not.

Subtracting Fractions with Unlike Denominators
5/6 - 2/3 =



4/6

1/2 - 1/3 =


0/16

7/8 - 1/4 =


2/8

11/12 - 2/3 =


4/12

3/4 - 2/3 =


1/12

5/8 - 1/2 =


5/8 - 4/8 =


1 - 2/3 =



5/8 - 1/5 =



5/9 - 1/4 =


1/3 - 1/7 =



4/5 - 3/7

Answers

Answer:

5/6-2/3=1/6

Step-by-step explanation:

You make the denominators the same. Like 5/6 and 2/3 you can make the fractions have the same denominator.

5/6-2/3 is the same as the equation 5/6-4/6 but simplified.

Please help me thank you I appreciate it

Answers

Answer:

73

Step-by-step explanation:

since it's a right angle it equals 90° and you already know there 17°. so you just subtract 90-17

A rectangle of area seven square centimetre is cut into three equel rectangle what is the area of each​

Answers

7cm^2=2.33cm^2 for each rectangle

7/3 square centimeters

Use the table below to answer the question.

Price Quantity Supplied of T-shirts Quantity Demanded of T-shirts
$5
0
300
$10
100
100
$25
300
50
$50
400
0
At the highest price of $50, producers supply _____ T-shirts and consumers demand _____T-shirts.

100, 100
0, 300
400, 0

Answers

Answer: 400,0

Step-by-step explanation:

I just took this on Ody

Jeff modeled the number of minutes that he read each day during the first week of the summer. The recursive function, f(x), can be used to determine the number of minutes that he had read after a certain number of days, where x represents the number of days. f(1) = 28 f(x) = f(x - 1) + 8 Use the recursive function to find the number of minutes that Jeff read after 3 days of summer.​

Answers

9514 1404 393

Answer:

  44 minutes

Step-by-step explanation:

We are given f(1) = 28.

Using the recursive formula ...

  f(2) = f(1) +8 = 28 +8 = 36

  f(3) = f(2) +8 = 36 +8 = 44

Jeff read 44 minutes after 3 days of summer.

factor the following
42x+28y

Answers

Answer:

To find the GCF, do the prime factorization of both numbers.

42 = 2 x 3 x 7

28 = 2 x 2 x 7

The GCF uses the numbers that appear in BOTH, 2 x 7 = 14 is the GCF of the numbers.  There is no variable GCF because there isn't a variable that appears in both.

Taking out the GCF gives you:

14(3x + 2y)

Step-by-step explanation:

Answer:

14(3x + 2y)

Find the GCF.

It is 14.

Use the distributive property.

Then, multiply each term.

to compound 50% solution in which proportion must 95% sol and 30% sol be mixed to make
500 ml

Answers

Answer:

4/9

Step-by-step explanation:

Let the amount of 95% sol = a ml and

the amount of 30% sol = b ml.

So, the total amount of the compound=a+b=500 ml

As the compound is 50% solution, so

95% of a + 30% of b= 50% of (a+b)

(95/100)a+(30/100)b=(50/100)(a+b) [from equation (i)]

95a + 30b = 50(a+b)

95(a/b)+30 = 50(a+b)/b [dividing both sides by b]

95(a/b)+30 = 50(a/b+1)

95(a/b)+30 = 50(a/b)+50

95(a/b)-50(a/b)=50-30

45(a/b)=20

a/b=20/45

a/b=4/9

Therefore, a:b=4:9

As a+b= 500 ml, so the amount of 95% sol = [tex]\frac {500}{13}\times 4=\frac{2000}{13}=153.85[/tex] ml

and the amount of 95% sol = [tex]\frac {500}{13}\times 9=\frac{4500}{13}=346.15[/tex] ml

Hence, the proportion of 95% sol and 30% sol to make a compound of 50% sol must be 4/9.

A minor league baseball team has a member’s club. It costs $30 to join and $3 per ticket. Non-members pay $6 per ticket. How many tickets will it take for the cost to be the same?

Answers

Answer:

2 tickets

Step-by-step explanation:

because if a no member ticket is 6 dollars than than two 3 dollar tickets will equal 6 dollars

3. Leeland can eat 1 hotdog in 20 minutes. What is his unit rate in hotdogs
per hour?

A 1/2 a hotdog per hour
B 1 hotdogs per hour
C 2 hotdogs per hour
D hotdogs per hour

Answers

Answer:

Hi how are you doing today Jasmine

Answer:

i think more then the awnsers that are givin or im just being a dummy

Step-by-step explanation:

Jeremy can do 22 push ups in 4 days. At this rate how many push-ups can he do in 6 days

Answers

Answer:

I think it's

Step-by-step explanation:

22=4

c=6

132,=4c

c=132/4

c=33

Answer:132 push ups

Step-by-step explanation:

(a) Find the Total profit function P(q).
(b) Find the first and second derivatives for P(q).
(c) Find the optimum production quantity to maximize profit.

Answers

Answer:

answer is c Find the optimum production quantity maximize profit

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