Question

Ayna and Leslie both simplified the expression. Which student is correct

Answer 1

Given:

$\sqrt[]{18x^4y^5}$

The expansion is,

$\sqrt[]{18x^4y^5}=\sqrt[]{2\times3\times3\times x\times x\times x\times x\times y\times y\times y\times y\times y}$

On simplification we get,

$\begin{gathered} =\sqrt[]{2\times3^2\times x^2\times x^2\times y^2\times y^2\times y} \\ =3x^2y^2\sqrt[]{2y} \end{gathered}$

Hence, Leslie was correct.