Simply this 5√81q^3 ?

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Answer 1 · 2018-02-26T18:21:08

See explanation...

Alright, lets begin with a simple square root rule.

$sqrt(AB)=sqrtA*sqrtB$

Understanding this, lets break your problem into two different squares.

$=5sqrt81*sqrt(q^3$

We know that the $sqrt81$ is the same as $9$ because $9^2=81$

$=5*9sqrt(q^3$ $->$ $=45sqrt(q^3$

At this point, we should split the square root into two using the same rule as above.

$=45sqrt(q^2)*sqrtq$

$=45cancelsqrt(q^cancel2)*sqrtq$ $->$ $45qsqrtq$

So the simplified version of $5sqrt(81q^3)$ is $45qsqrtq$

Hope this helped!
~Chandler Dowd