Question

1. \\(\sqrt{36x^4y^9}=\\)

Explanation:

Step1: Split root into product terms

$\sqrt{36x^4y^9} = \sqrt{36} \cdot \sqrt{x^4} \cdot \sqrt{y^9}$

Step2: Simplify each radical term

$\sqrt{36}=6$, $\sqrt{x^4}=x^2$, $\sqrt{y^9}=y^{4.5}=y^4\sqrt{y}$

Step3: Combine simplified terms

$6 \cdot x^2 \cdot y^4\sqrt{y}$

Answer:

$6x^2y^4\sqrt{y}$