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How do you simplify $\sqrt{49 x^{5}}$ $sqrt(49x^5)$ ?

1 Answer

Oct 29, 2015

$\sqrt{49 x^{5}} = 7 x^{2} \sqrt{x}$ $sqrt(49x^5) =7x^2sqrt(x)$

Explanation:

$\sqrt{49 x^{5}} = \sqrt{7^{2} \cdot {(x^{2})}^{2} \cdot x}$ $sqrt(49x^5) = sqrt(7^2*(x^2)^2*x)$

$XXX = \sqrt{7^{2}} \cdot \sqrt{{(x^{2})}^{2}} \cdot \sqrt{x}$ $color(white)("XXX")=sqrt(7^2)*sqrt((x^2)^2)*sqrt(x)$

$XXX = 7 x^{2} \sqrt{x}$ $color(white)("XXX")=7x^2sqrt(x)$

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