How do you simplify $\sqrt{36 x^{3}}$ $sqrt(36x^3)$ ?

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How do you simplify $\sqrt{36 x^{3}}$ $sqrt(36x^3)$ ?

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Answer 1 · 2015-03-24T02:07:31

Extract the largest squares from the terms of the square root argument and remove them from within the square root.

$36 = 6^{2}$ $36 = 6^2$
$x^{3} = (x^{2}) (x)$ $x^3 = (x^2) (x)$

So
$\sqrt{36 x^{3}}$ $sqrt(36x^3)$
$= \sqrt{6^{2} \cdot x^{2} \cdot x}$ $= sqrt(6^2*x^2*x)$
$= \sqrt{6^{2}} \cdot \sqrt{x^{2}} \cdot \sqrt{x}$ $= sqrt(6^2)*sqrt(x^2)*sqrt(x)$
$= 6 x \sqrt{x}$ $= 6x sqrt(x)$

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How do you simplify $\sqrt{36 x^{3}}$ $sqrt(36x^3)$ ?

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How do you simplify $\sqrt{36 x^{3}}$ $sqrt(36x^3)$ ?