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Solve for: sqrt(216k^4)
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Geometry
Solve for: sqrt(216k^4)
Blog
Topics
Algebra
Calculus
Geometry
Number Theory
Probability
Statistics
Trigonometry
Expression: $\sqrt{216k^{4}}$
Apply radical rule: $\sqrt{ab}=\sqrt{a}\sqrt{b},\quad$ assuming $a\ge0, b\ge0$
$=\sqrt{216}\sqrt{k^{4}}$
Simplify $\sqrt{k^{4}}:{\quad}k^{2}$
$=\sqrt{216}k^{2}$
$\sqrt{216}=6\sqrt{6}$
$=6\sqrt{6}k^{2}$
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