Calculate sqrt(60x)*sqrt(12x)*sqrt(63x)*sqrt(42x). Express your answer in simplest radical form in terms of x. Note: When entering a square root with more than one character, you must use parentheses or brackets. For example, you should enter sqrt(14) as "sqrt(14)" or "sqrt{14}".
+15001 Calculate sqrt(60x)*sqrt(12x)*sqrt(63x)*sqrt(42x). Express your answer in simplest radical form in terms of x.
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\(\sqrt{60x}\cdot \sqrt{12x}\cdot \sqrt{63x}\cdot \sqrt{42x}\\ =\sqrt{60\cdot 12\cdot 63\cdot 42\cdot x^4}\\ =\sqrt{2^2\cdot 3\cdot 5\cdot 2^2\cdot 3\cdot 3^2\cdot 7\cdot 2\cdot 3\cdot 7\cdot x^4}\\ =\sqrt{2^5\cdot 3^5\cdot 5\cdot 7^2\cdot x^4}\\ =2^2\cdot 3^2\cdot 7\cdot x^2\cdot \sqrt{2\cdot 3\cdot 5}\)
\(\sqrt{60x}\cdot \sqrt{12x}\cdot \sqrt{63x}\cdot \sqrt{42x}=\color{blue}252x^2\cdot\sqrt{30}\)
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