Question

unit test
unit test complete
11 12 13 14
what is the simplified form of \\(\sqrt{400x^{100}}\\) ?
\\(200x^{10}\\)
\\(200x^{50}\\)
\\(20x^{10}\\)
\\(20x^{50}\\)
mark this and return save

Explanation:

Step1: Split the square root

$\sqrt{400x^{100}} = \sqrt{400} \times \sqrt{x^{100}}$

Step2: Calculate √400

$\sqrt{400} = 20$

Step3: Calculate √x¹⁰⁰

$\sqrt{x^{100}} = x^{\frac{100}{2}} = x^{50}$

Step4: Multiply results

$20 \times x^{50} = 20x^{50}$

Answer:

20x⁵⁰