Question

Value of

$\sqrt{32 \sqrt{960} }$


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Answer 1

Step-by-step explanation:

$\sqrt{32 \sqrt{960} } \\ \\ = \sqrt{32 \sqrt{64 \times 15} } \\ \\ = \sqrt{16 \times 2 \sqrt{64 \times 15} } \\ \\ = 4 \sqrt{2 \times 8 \sqrt{15} } \\ \\ \\ = 4 \sqrt{16 \times \sqrt{15} } \\ \\ = 4 \times 4 \sqrt{ \sqrt{15} } \\ \\ \\ = 16 \times 15 = 240 \: \: \: answer...$

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