SOLUTION: Divide. Then simplify by taking roots, if possible. Assume that all expressions under radicals represent positive numbers.
3√80a^7b^5 / 3√10a^5b^4
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Question 128255: Divide. Then simplify by taking roots, if possible. Assume that all expressions under radicals represent positive numbers.
3√80a^7b^5 / 3√10a^5b^4
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
3sqrt(80)a^7b^5/3sqrt(10)a^5b^4
=sqrt(80)a^2b/sqrt(10) The 3's cancel subtract exponents when dividing.
=4sqrt(5)a^2b/sqrt(5*2)
=4a^2b/sqrt(2)
=4sqrt(2)a^2b/2 Multiply by sqrt(2)/sqrt(2)
=2sqrt(2)a^2b
.
Ed
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