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Make L the subjects of the formula if sqrt frac... - JAMB Mathematics 2007 Question

Make L the subjects of the formula if \(\sqrt{\frac{42w}{5l}}\)
A
\(\sqrt{\frac{42w}{5d}}\)
B
\(\frac{42W}{5d^2}\)
C
\(\frac{42}{5dW}\)
D
\(\frac{1}{d}\sqrt{\frac{42w}{5}}\)
correct option: b

(\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})

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