Question

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

Explanation:

Step1: Split the square root

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

Step2: Calculate square root of 400

$\sqrt{400} = 20$

Step3: Calculate square root of \(x^{100}\)

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

Step4: Combine results

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

Answer:

D. \(20x^{50}\)