square root of 75y^4w^3 simplest radical form

how do you solve the square root of 75y^4w^3 in simplest radical form step by step?
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1 Answer

sqrt (75y^4w^3)

sqrt (3 * 25 * y^4 * w^3)

sqrt (3 * 5^2 * y^2 * y^2 * w^2 * w)

sqrt (5^2 * y^2 * y^2 * w^2) * sqrt (3w)

sqrt ( (5yyw)^2) * sqrt (3w)

5yyw * sqrt (3w)

5wy^2 * sqrt (3w)

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