Solve for k L = square root of (2W)/k

Math
L=2Wk
Rewrite the equation as 2Wk=L.
2Wk=L
To remove the radical on the left side of the equation, square both sides of the equation.
2Wk2=L2
Simplify each side of the equation.
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Multiply the exponents in ((2Wk)12)2.
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Apply the power rule and multiply exponents, (am)n=amn.
(2Wk)12⋅2=L2
Cancel the common factor of 2.
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Cancel the common factor.
(2Wk)12⋅2=L2
Rewrite the expression.
(2Wk)1=L2
(2Wk)1=L2
(2Wk)1=L2
Simplify.
2Wk=L2
2Wk=L2
Solve for k.
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Multiply each term by k and simplify.
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Multiply each term in 2Wk=L2 by k.
2Wk⋅k=L2⋅k
Cancel the common factor of k.
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Cancel the common factor.
2Wk⋅k=L2⋅k
Rewrite the expression.
2W=L2⋅k
2W=L2k
2W=L2k
Rewrite the equation as L2k=2W.
L2k=2W
Divide each term by L2 and simplify.
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Divide each term in L2k=2W by L2.
L2kL2=2WL2
Cancel the common factor of L2.
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Cancel the common factor.
L2kL2=2WL2
Divide k by 1.
k=2WL2
k=2WL2
k=2WL2
k=2WL2
Solve for k L = square root of (2W)/k

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