If m>0 , then \frac{1}{\sqrt{5m}-\sqrt{m}}=... | Free GMAT Practice Question | GMAT Panda

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GMAT Quant — Quant (Roots)

If m > 0, then \frac{1}{5 m - m} =

Explanation	Calculations	Help
$We multiply the fraction by a form of one to create a difference of squares in the denominator.$	$\frac{1}{5 m - m} \times \frac{5 m + m}{5 m + m}$
$We simplify the denominator using the difference of squares.$	$\frac{5 m + m}{5 m - m}$	Theory & Tactics Method Card EXP4-B Click to view full details
$We subtract the terms in the denominator.$	$\frac{5 m + m}{4 m}$
$We factor out the common term in the numerator.$	$\frac{( 5 + 1 ) m}{4 m}$
$We simplify the fraction by cancelling a common factor.$	$\frac{( 5 + 1 ) m}{4 m} = \frac{( 5 + 1 ) m}{4 m m} \frac{( 5 + 1 ) m}{4 m m} = \frac{5 + 1}{4 m}$	Theory & Tactics Method Card FDPR2-A Click to view full details

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D

GMAT Quant — Quant (Roots)

If m > 0, then \frac{1}{5 m - m} =

Explanation	Calculations	Help
$We multiply the fraction by a form of one to create a difference of squares in the denominator.$	$\frac{1}{5 m - m} \times \frac{5 m + m}{5 m + m}$
$We simplify the denominator using the difference of squares.$	$\frac{5 m + m}{5 m - m}$	Theory & Tactics Method Card EXP4-B Click to view full details
$We subtract the terms in the denominator.$	$\frac{5 m + m}{4 m}$
$We factor out the common term in the numerator.$	$\frac{( 5 + 1 ) m}{4 m}$
$We simplify the fraction by cancelling a common factor.$	$\frac{( 5 + 1 ) m}{4 m} = \frac{( 5 + 1 ) m}{4 m m} \frac{( 5 + 1 ) m}{4 m m} = \frac{5 + 1}{4 m}$	Theory & Tactics Method Card FDPR2-A Click to view full details

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D