SAT Math Question of the Day

Q: √ 2  + √ 3  + 3 √ 2  + 2 √ 3

1. 2 √ 2  + √ 3
2. 4 √ 2  + 3 √ 3
3. 5 √ 2  + 4 √ 3
4. √ 5  + 2 √ 6
5. 3 √ 6

UNANSWERED.

The correct answer is B.

A: The answer is 4 √ 2  + 3 √ 3.

Add like terms: √ 2  + 3 √ 2 is 4 √ 2 .
√ 3  + 2 √ 3 is 3 √ 3.
Another way to imagine it is to replace √ 2 with an Apple and √ 3 with an Orange.   1 Apple + 3 Apples = 4 Apples, so that's 4 √ 2 .   1 Orange + 2 Oranges = 3 Oranges, so that's 3 √ 3 .