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
$We multiply the numerator and denominator by 5 m - m to create a difference of squares in the denominator.$	$\frac{1}{5 m + m} \times \frac{5 m - m}{5 m - m}$	Theory & Tactics Method Card EXP4-B Click to view full details
$We simplify the denominator by subtracting like terms.$	$\frac{5 m - m}{5 m - m}$	Theory & Tactics Method Card FDPR0-N Click to view full details
$We factor out m from the terms in the numerator.$	$\frac{( 5 - 1 ) m}{4 m}$
$We cancel the common m factor to reach the final simplified form.$	$\frac{( 5 - 1 ) m}{4 m m} = \frac{5 - 1}{4 m}$	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
$We multiply the numerator and denominator by 5 m - m to create a difference of squares in the denominator.$	$\frac{1}{5 m + m} \times \frac{5 m - m}{5 m - m}$	Theory & Tactics Method Card EXP4-B Click to view full details
$We simplify the denominator by subtracting like terms.$	$\frac{5 m - m}{5 m - m}$	Theory & Tactics Method Card FDPR0-N Click to view full details
$We factor out m from the terms in the numerator.$	$\frac{( 5 - 1 ) m}{4 m}$
$We cancel the common m factor to reach the final simplified form.$	$\frac{( 5 - 1 ) m}{4 m m} = \frac{5 - 1}{4 m}$	Theory & Tactics Method Card FDPR2-A Click to view full details

Scroll horizontally to view all columns

D