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Make L the subjects of the formula if  d = \(\sqrt{\frac{42w}{5l}}\)

Mathematics
JAMB 2007

Make L the subjects of the formula if  d = \(\sqrt{\frac{42w}{5l}}\)

  • A. \(\sqrt{\frac{42w}{5d}}\)
  • B. \(\frac{42W}{5d^2}\)
  • C. \(\frac{42}{5dW}\)
  • D. \(\frac{1}{d}\sqrt{\frac{42w}{5}}\)
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Correct Answer: Option B
Explanation

d = \(\sqrt{\frac{42w}{5l}}\)
square both side of the equation
\(d^2 = \left(\sqrt{\frac{42W}{5l}}\right)^2\\
d^2 = \frac{42W}{5l}\\
5ld^2=42W\\
l = \frac{42W}{5d^2}\)

There is an explanation video available below.


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Explanation Video

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