Question

assuming x and y are both positive, write the following expression in simplest radical form. √(4x⁴y⁶) answer attempt 1 out of 2

Explanation:

Step1: Split radical into factors

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

Step2: Simplify each radical

$\sqrt{4}=2$, $\sqrt{x^4}=x^2$, $\sqrt{y^6}=y^3$

Step3: Multiply simplified terms

$2 \cdot x^2 \cdot y^3$

Answer:

$2x^2y^3$