Asked by Tommy

I have tried solving this problem over and over but I'm still not sure with my answer.
The question is sqrt2 / 2 + sqrt2.
I think the answer is 1/sqrt2 + sqrt2 because you have to cancel out the common factors.

Answers

Answered by Reiny
Don't know what you want done with "solve"
We solve equations, but you don't have one.
Did you mean "evaluate" ?

Also , did you mean it the way you typed it, or did you mean
√2/(2+√2) ?

Back before we had calculators, it was often useful to have this rationalized, if so , then ...

= √2/(2+√2) * (2 - √2)/(2 - √2)
= (2√2 - 2)/(4-2)
= 2( √2 - 1)/2

= √2 - 1

you can usually check this kind of work by evaluating the original and the final answer on your calculator.
My answer is correct
Answered by Tommy
Yes, sorry I meant evaluate. But the equation is not √2/(2+√2). The equation is √2/2 + √2
Answered by Reiny
ok, that makes it easy

√2/2 + √2
= √2( 1/2 + 1)
= √2(3/2)
= 3√2/2
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