SOLUTION: Simplify by factoring. Assume that all expressions under the radical represent nonnegative numbers.
5√192x^7y^10
Please show me how to solve.
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Question 252143: Simplify by factoring. Assume that all expressions under the radical represent nonnegative numbers.
5√192x^7y^10
Please show me how to solve.
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
First we must prime factorize 192 as 3*64. I want a prime number and a square number, ideally.
Second, I want my exponents to be as even as possible. Notice we have X^7. We can rewrite that as X^6*X^1. We want even numbers so when we take a square root, we divide them by 2.
Third we are read to evaluate: gives us
5*8*x^3*y^5*sqrt(3x), or simply
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