GMAT Fractions: (√2)/4+3/(2√2)=
Question
(√2)/4+3/(2√2)=
- (√2)/2
- (3√2)/2
- √2
- 2 √2
- 3 √2
Topics: fractions, roots
Solution
Step 1
We simplify the second fraction by rationalizing the denominator
3/(2√2) = 3/(2√2) × (√2)/(√2) = (3√2)/(2×2) = (3√2)/4
Step 2
We add the two like terms over the common denominator
(√2)/4 + (3√2)/4 = (4√2)/4 = √2
Answer
√2 (C)
