Does 1 over square root 2 equal square root 1/2?

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Does 1 over square root 2 equal square root 1/2?

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Answer 1 · 2015-05-30T14:46:30

Yep.
You have:
$a/sqrt(2)=$ you can take the root of the numerator (which in this case is $a=1$ ) but you have always to square it (to avoid changing your fraction) so you get:
$sqrt(a^2)/sqrt(2)$ you can use one square root only:
$=sqrt(a^2/2)=$ but in this case $a=1$ so that $1^2=1$ so you get $=sqrt(1/2)$

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Does 1 over square root 2 equal square root 1/2?

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