I 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.

Quote:

Originally Posted by redlinethecar

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.

Hi redlinethecar,

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

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

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

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

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

Oh wow it was the invisible one. Thanks so much.