Question

Question number 3: which of the following is equal to 18x*7 y*6?

Answer 1

Given:

`√(18x^7y^6)`

Splitting the expressions further to get the perfect squares out:

`\begin{gathered} √(18x^7y^6)=√(9*2*(x^6\cdot x)*(y^3)^2) \\ =√(9*2*(x^3)^2\cdot x*(y^3)^2) \end{gathered}`

`\begin{gathered} √(18x^7y^6)=√(9*2*(x^3)^2\cdot x*(y^3)^2) \\ =3x^3y^3√(2x) \end{gathered}`

Therefore, the correct answer is:

`3x^3y^3√(2x)`