Question

What is the simplest form of the expression?
(2√−6√)over(2√+6√)

Answer 1

Is this the problem?
$$
\cfrac{2\sqrt{-6}}{2\sqrt{6}}\\
=\cfrac{\sqrt{-6}}{\sqrt{6}}\\
=\sqrt{\cfrac{-6}{6}}\\
=\sqrt{-1}\\
=i
$$

Answer 2

\[\sqrt{2}-\sqrt{6}\over \sqrt{2}+\sqrt{6}\]

Answer 3

@ybarrap sorry thats the equation

Answer 4

$$
{\sqrt{2}-\sqrt{6}\over \sqrt{2}+\sqrt{6}}\\
={\sqrt{2}-\sqrt{2\times3}\over \sqrt{2}+\sqrt{2\times3}}\\
={\sqrt{2}\left( 1-\sqrt{3}\right )\over \sqrt{2}\left (1+\sqrt{3}\right )}\\
={\left( 1-\sqrt{3}\right )\over \left (1+\sqrt{3}\right )}\\
={\left( 1-\sqrt{3}\right )\over \left (1+\sqrt{3}\right )}\times\cfrac{1-\sqrt{3}}{1-\sqrt{3}}\\
=\cfrac{1-2\sqrt 3+3}{1-3}\\
=\cfrac{4-2\sqrt 3}{-2}\\
=-2+\sqrt 3\\
$$

Answer 5

okay?

Answer 6

@ybarrap : check last step, sign mistake. Medal n Fan

Answer 7

ucan go tohttp:://wolframalpha.com u will get steps and graphs along with answer

Answer 8

@anubhav.m is your answer correct?

Answer 9

sorry for the typos

Answer 10

Thank you

Answer 11

It should be.....y? Is it wrong?

Answer 12

yep, it correct....

Answer 13

@ybarrap got the same answer......sry abt that, there's no mistake.....