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√64x√81 =?
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√(64/81) = √64/√81 by a property of radicals called The Quotient Property which says: The nth root of a quotient is equal to the quotient of the nth roots: ⁿ√(a/b) = ⁿ√a/ⁿ√b , where b ≠ 0 and n is a positive integer greater than 1.
= √8²/√9²
= √[(8)(8)]/√[(9)(9)]
= 8/9 is the positive square root of the proper fraction: 64/81.
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