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JAMB 2018 · UTME · Q29✱✱

Make LL the subject of the formula if d=42w5L2d = \sqrt{\dfrac{42w}{5L^2}}.

Worked solution (try it first)
  1. Square both sides to remove the root: d2=42w5L2d^2 = \dfrac{42w}{5L^2}.
  2. Multiply both sides by 5L25L^2: 5L2d2=42w5L^2d^2 = 42w.
  3. Divide by 5d25d^2: L2=42w5d2L^2 = \dfrac{42w}{5d^2}.
  4. Take the square root: L=42w5d2L = \sqrt{\dfrac{42w}{5d^2}}, option B.

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