10 points if you can do this for me on your calculator!?

Question

I'm at work, and am working on a math problem, but I don't have a calculator.

Compute this for me?

3(root 2) / 3 + (root 2) = x

(In words, 3 times the square root of 2, divided by the quantity of 3 plus the square root of 2 equals x.)

Then, what is this x^3?

Thanks

Answer 1

3√2= 4.242640

3+√2=4.414213

3√2/(3+√2)=1.04044

x^3 = 1.12629

From what you wrote, I believe I have the parens in the correct spot, yes?

Answer 2

From Windows Calculator:

3√2=

4.2426406871192851464050661726291

3+√2=

4.4142135623730950488016887242097

1.0404401145198808577341776954382

Answer 3

.887868678

Answer 4

You actually have a calculator on your computer. Click on START > All Programs > Accessories > Calculator. Switch the view to scientific.

3(root 2) / 3 + (root 2) = x    NOTE: 3root2/3 = root2 or sqrt2

sqrt2 + sqrt2 = x

2sqrt2 = x

x = 2.82843

x^3 = 22.62742 (this was calculated without clearing the calculator.

Using 2.82843 as the value for x results in:

x^3 = (2.82843)^3 = 22.62749

Answer 5

Just type the following line into http://www.google.com

(3sqrt(2)/(3+sqrt(2)))^3

Answer to 5 decimal places is 0.88787.  

Answer 6

2.82843