C We simplify the second fraction by rationalizing the denominator 32sqrt(2) = 32sqrt(2) sqrt(2)sqrt(2) = 3sqrt(2)22 = 3sqrt(2)4 We add the two like terms over the common denominator sqrt(2)4 + 3sqrt(2)4 = 4sqrt(2)4 = sqrt(2)

GMAT Fractions: Sqrt(2)4+32 sqrt(2)=

Question

\frac{2}{4} + \frac{3}{2 2} =

Options:

A. $\frac{2}{2}$
B. $\frac{3 2}{2}$
C. $2$
D. $22$
E. $32$

fractionsroots

Steps

Explanation	Calculations	Help
$We simplify the second fraction by rationalizing the denominator$	$\frac{3}{2 2} = \frac{3}{2 2} \times \frac{2}{2} = \frac{3 2}{2 \times 2} = \frac{3 2}{4}$
$We add the two like terms over the common denominator$	$\frac{2}{4} + \frac{3 2}{4} = \frac{4 2}{4} = 2$

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Final Answer

C

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If 310^4=x %, then x=

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