Square roots

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Simplify sqrt(2)*sqrt(6)*sqrt(110)*sqrt(120)*sqrt(450)*sqrt(520).

Simplify $\sqrt{2} \cdot \sqrt{6} \cdot \sqrt{110} \cdot \sqrt{120} \cdot \sqrt{450} \cdot \sqrt{520}$

Guest Apr 25, 2023

Guest · Answer 1 · 2023-04-25T02:19:52

Sqrt[2 * 6 * 110 * 120* 450 * 520]

37065600000 = sqrt[2^10 * 3^4 * 5^5 * 11 * 13]

Sqrt[2^(10/2) * 3^(4/2) * 5^(5/2)]

2^5 * 3^2 * 5^2 sqrt(5 * 11 * 13)

7200 sqrt(715)