Question

Simply this 5√81q^3 ?

Answer 1

See explanation...

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