5sqrt(2)+sqrt(2)-sqrt(2)^2

5√2 + √2 - (√2)2

I know the answer is

6√2 - 2

but i would like to know the steps on how to come to that conclusion please. Thank you so much.

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- Oct 8th 2010, 05:19 AMredlinethecarI really need help understanding this one....
5sqrt(2)+sqrt(2)-sqrt(2)^2

5√2 + √2 - (√2)2

I know the answer is

6√2 - 2

but i would like to know the steps on how to come to that conclusion please. Thank you so much. - Oct 8th 2010, 05:28 AMmasters
Hi redlinethecar,

You know you can combine radicals as long as the index and radicand are the same.

$\displaystyle 5\sqrt{2}+1\sqrt{2}-(\sqrt{2})^2$

$\displaystyle 6\sqrt{2}-(\sqrt{2})^2$

And when you square a square root, you simply remove the radical.

The final result is: $\displaystyle \boxed{6\sqrt{2}-2}$

- Oct 8th 2010, 06:13 AMredlinethecar
Oh wow it was the invisible one. Thanks so much.