Question

unit test
unit test complete
1 2 3 4 5 6
what is the simplified form of \\(\sqrt{10,000x^{64}}\\) ?
\\(\bigcirc\\) \\(5000x^{32}\\)
\\(\bigcirc\\) \\(5000x^8\\)
\\(\bigcirc\\) \\(100x^8\\)
\\(\bigcirc\\) \\(100x^{32}\\)
mark this and return sa

Explanation:

Step1: Split the square root

\(\sqrt{10000x^{64}} = \sqrt{10000} \times \sqrt{x^{64}}\)

Step2: Simplify \(\sqrt{10000}\)

\(\sqrt{10000} = 100\)

Step3: Simplify \(\sqrt{x^{64}}\)

\(\sqrt{x^{64}} = x^{32}\)

Step4: Combine results

\(100 \times x^{32} = 100x^{32}\)

Answer:

D. \(100x^{32}\)