If m>0 , then \frac{1}{\sqrt{3m}+\sqrt{m}}=... | Free GMAT Practice Question | GMAT Panda

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GMAT Quant — Quant (Roots)

If m > 0, then \frac{1}{3 m + m} =

Explanation	Calculations	Help
$We rationalize the denominator by multiplying numerator and denominator by the expression obtained by changing the sign between the two terms.$	$\frac{1}{3 m + m} \times \frac{3 m - m}{3 m - m}$
$We apply the difference of squares to simplify the denominator.$	$\frac{3 m - m}{3 m - m}$	Theory & Tactics Method Card EXP4-B Click to view full details
$We simplify the denominator and factor out m from the numerator.$	$\frac{m ( 3 - 1 )}{2 m}$
$We cancel the common factor m from numerator and denominator.$	$\frac{m ( 3 - 1 )}{2 m m} = \frac{3 - 1}{2 m}$	Theory & Tactics Method Card FDPR2-A Click to view full details

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B

GMAT Quant — Quant (Roots)

If m > 0, then \frac{1}{3 m + m} =

Explanation	Calculations	Help
$We rationalize the denominator by multiplying numerator and denominator by the expression obtained by changing the sign between the two terms.$	$\frac{1}{3 m + m} \times \frac{3 m - m}{3 m - m}$
$We apply the difference of squares to simplify the denominator.$	$\frac{3 m - m}{3 m - m}$	Theory & Tactics Method Card EXP4-B Click to view full details
$We simplify the denominator and factor out m from the numerator.$	$\frac{m ( 3 - 1 )}{2 m}$
$We cancel the common factor m from numerator and denominator.$	$\frac{m ( 3 - 1 )}{2 m m} = \frac{3 - 1}{2 m}$	Theory & Tactics Method Card FDPR2-A Click to view full details

Scroll horizontally to view all columns

B