Question

How do you simplify `sqrt(20a^13 b) * sqrt(8a^14 b^12)`?

Answer 1

`4a^13b^6sqrt(10ab)`

Explanation:

Look for values that can be squared. These can be taken outside the square root.

As an example, note that `(a^2)^7=a^(2xx7)=a^14`

Given:`" "sqrt(20a^13b)" "xx" "sqrt(8a^14b^12)`

Write as:`" "sqrt(2^2xx5xx(a^2)^6xxaxxb)xxsqrt(2^2xx2xx(a^2)^7xx(b^2)^6)`

`=>2a^6sqrt(5ab) xx2a^7b^6sqrt(2)`

`=>4a^13b^6sqrt(10ab)`