simplify √54x^7y^10

Question

simplify √54x^7y^10

owlfred · Answer

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shadowfiend · Answer

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:

$$2y^5\sqrt{28x^7}$$

anonymous · Answer

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 
$$2x^3y^5\sqrt{14x}$$

roadjester · Answer

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

anonymous · Answer

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