How do you simplify $\sqrt{24 x^{6}}$ $sqrt(24x^6)$ ?

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Answer 1 · 2017-06-28T13:02:18

$2 x^{3} \sqrt{6}$ $2x^3sqrt6$

You can rewrite your equation

$\sqrt{6 \times 4 \times x^{6}}$ $sqrt(6times4timesx^6)$

since $\sqrt{x^{6}} = x^{\frac{6}{2}} = x^{3}$ $sqrt(x^6) = x^(6/2) = x^3$

and $\sqrt{4} = 2$ $sqrt4=2$

you can write these two terms outside of the square root

$= 2 \times x^{3} \sqrt{6}$ $=2timesx^3sqrt6$

which is your answer:

$2 x^{3} \sqrt{6}$ $2x^3sqrt6$

How do you simplify sqrt(24x^6)√24x6sqrt(24x^6)?