How do you simplify $\sqrt{144 s^{14}}$ $sqrt( 144s^14)$ ??

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Answer 1 · 2018-04-06T20:51:10

$12 s^{7}$ $12s^7$

Given: $\sqrt{144 s^{14}}$ $sqrt(144s^14)$

Use the radical rule: $\sqrt{m \cdot n} = \sqrt{m} \cdot \sqrt{n}$ $sqrt(m*n) = sqrt(m) * sqrt(n)$

$\sqrt{144 s^{14}} = \sqrt{144} \sqrt{s^{14}} = 12 \sqrt{s^{14}}$ $sqrt(144s^14) = sqrt(144)sqrt(s^14) = 12sqrt(s^14)$

Use the exponent rule: $x^{m + n} = x^{m} \cdot x^{n}$ $x^(m+n) =x^m * x^n$

$s^{14} = s^{7 + 7} = s^{7} s^{7}$ $s^14 = s^(7+7) = s^7s^7$

$12 \sqrt{s^{14}} = \sqrt{s^{7} \cdot s^{7}} = 12 s^{7}$ $12sqrt(s^14) = sqrt(s^7 * s^7) = 12s^7$

How do you simplify sqrt( 144s^14)√144s14sqrt( 144s^14)??