Question

What is the simplest form of the expression? 3sqrt(24a^10b^6)?

Answer 1

3√24a^10b^6 =
3*2*√6a^5b^3 =
6√6a^5b³.

Answer 2

`\text{The simplest form is }6\sqrt6a^5b^3`

Explanation:

Given the expression
`3sqrt(24a^(10)b^6)`.

we have to find the simplest form of the expression.

`3sqrt(24a^(10)b^6)`

=
`3(24^{(1)/(2)}a^{(10)/(2)}b^{(6)/(2)})`

=
`3(24^{(1)/(2)}a^5b^3)`

=
`6\sqrt6a^5b^3`

which is the simplest form of the given expression.