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## anonymous 5 years ago simplify √54x^7y^10

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1. Owlfred

Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

2. shadowfiend

Remember that square root is the same as dividing powers by 2. Also, 54 = 7 x 8 = 7 x 4 x 2 = 4 x 28 So, we have: $\sqrt{4 \cdot 28 x^7 y^{10}}$ We can take the square root of 4 and pull it out: $2\sqrt{28x^7y^{10}}$ And we can divide 10 by 2, since the square root is the same as dividing the power by 2: $2y^5\sqrt{28x^7}$

3. anonymous

you can do more i think. $x^7=x^6\times x$ and $\sqrt{x^6}=x^3$ also $2\times 7=14$ so answer should be $2x^3y^5\sqrt{14x}$

4. roadjester

i have one problem with that answer. 8*7=56, 6*9=54 so that coefficient is wrong

5. anonymous

$\sqrt{54x^3 y^2}$

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