Question

(3. √(u⁴x⁹⁴y⁵⁰)

Explanation:

Step1: Split radical into factors

$\sqrt{44x^{44}y^{50}} = \sqrt{4 \times 11 \times x^{44} \times y^{50}}$

Step2: Separate radicals for each factor

$= \sqrt{4} \times \sqrt{11} \times \sqrt{x^{44}} \times \sqrt{y^{50}}$

Step3: Simplify each radical

$\sqrt{4}=2$, $\sqrt{x^{44}}=x^{22}$, $\sqrt{y^{50}}=y^{25}$

Step4: Combine simplified terms

$= 2 \times x^{22} \times y^{25} \times \sqrt{11}$

Answer:

$2x^{22}y^{25}\sqrt{11}$