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denis-greek [22]
3 years ago
15

You are finding the product of two square roots. Each radicand is the same variable raised to an odd power. Explain why you woul

d want to multiply the radicands together first and then simplify the product.
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
8 0
Multiplying the two same variables will combine them into one variable of an even power. (odd number + odd number = even number)
Then the square root (even root/radicand) can be taken eliminating the radicand.

Here's an example to show you what I mean, so you can put it in your own words if you want.

\sqrt{ x^{3} } *  \sqrt{ x^{7} } =  \sqrt{ x^{10} } =  x^{5}

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