Question

simplify the radical expression: \\(sqrt{36x^4y^2}\\)

1. \\(x^2ysqrt{6}\\)
2. \\(6x^2y\\)
3. \\(6xysqrt{xy}\\)
4. \\(6sqrt{x^2y}\\)

Explanation:

Step1: Split radical into factors

$\sqrt{36x^4y^2} = \sqrt{36} \cdot \sqrt{x^4} \cdot \sqrt{y^2}$

Step2: Simplify each radical

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

Step3: Multiply simplified terms

$6 \cdot x^2 \cdot y$

Answer:

1. $6x^2y$