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Question #13680

1 Answer

Feb 15, 2017

$= 3 x^{3}$ $=3x^3$

Explanation:

$\sqrt{9 x^{6}} = {(9 \cdot x^{6})}^{\frac{1}{2}}$ $sqrt (9x^6)=(9*x^6)^(1/2)$

$= {(9)}^{\frac{1}{2}} \cdot {(x^{6})}^{\frac{1}{2}}$ $=(9)^(1/2) * (x^6)^(1/2)$

$= {(3^{2})}^{\frac{1}{2}} \cdot {(x^{6})}^{\frac{1}{2}}$ $=(3^2)^(1/2) * (x^6)^(1/2)$

$= 3^{2 \cdot \frac{1}{2}} \cdot x^{6 \cdot \frac{1}{2}}$ $=3^(2*1/2) * x^(6*1/2)$

$= 3^{1} \cdot x^{3}$ $=3^1 * x^3$

$= 3 x^{3}$ $=3x^3$

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