SAT Math Question of the Day

Math Category: Roots Level 2:

Q: √ 1  × √ 2  × √ 3  × √ 4

  1. 0
  2. √ 3
  3. 2 √ 6
  4. √ 10
  5. √ 12

UNANSWERED.

The correct answer is C.

A: The answer is 2 √ 6 .
First simplify √ 1  = 1 and √ 4  = 2.
√ 1  × √ 2  × √ 3  × √ 4  = 1 × √ 2  × √ 3  × 2
= 2 × √ 2  × √ 3  = 2 × √ (2 × 3)  = 2 √ 6