How do you simplify 2 $\sqrt{(x^{7} y^{5})}$ $sqrt((x^7y^5)$ ?

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2 $\sqrt{(x^{7} y^{5})}$ $sqrt((x^7y^5)$

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Answer 1 · 2018-03-21T20:32:39

Once a bit of practice is gained in this you will not need to write it out in such detail. You will jump steps.

$2 x^{3} y^{2} \sqrt{x y}$ $2x^3y^2sqrt(xy)$

You look for squared values within the root. You can 'take these outside' the root as single values.

Example: $\sqrt{8} = \sqrt{2^{2} \times 2} = 2 \sqrt{2}$ $sqrt(8)=sqrt(2^2xx2)=2sqrt(2)$

So we write the given as:

$2 \sqrt{x^{2} \times x^{2} \times x^{2} \times x \times y^{2} \times y^{2} \times y}$ $2sqrt(x^2xx x^2 xxx^2 xx x xx y^2xxy^2xxy)$

$2 \times x \times x \times x \times y \times y \sqrt{x y}$ $2xx x xx x xx x xxyxxysqrt(xy)$

$2 x^{3} y^{2} \sqrt{x y}$ $2x^3y^2sqrt(xy)$