How do you simplify $sqrt (a^5 / 2)$ ?

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Answer 1 · 2018-05-20T08:38:32

$sqrt (a^5 / 2)=sqrt(a^5)/sqrt2=sqrt(a^4*a)/sqrt2$

$=[sqrt(a^4)*sqrta]/sqrt2=[a^2*sqrta]/sqrt2$

Note that

$color(red)[sqrt(a/b)=sqrta/sqrtb]$

$sqrt (a^5 / 2)=sqrt(a^5)/sqrt2=sqrt(a^4*a)/sqrt2$

$=[sqrt(a^4)*sqrta]/sqrt2=[a^2*sqrta]/sqrt2$

How do you simplify sqrt (a^5 / 2) sqrt (a^5 / 2)?