Question

(04.02) An expression is shown below: the square root of 32 plus the square root of 2 Which statement is true about the expression? (1 point) Select one: a. It is rational and equal to 4. b. It is rational and equal to 5. c. It is irrational and equal to 5 multiplied by the square root of 2 . d. It is irrational and equal to 4 multiplied by the square root of 2 .

Answer 1

Answer: C

Work:
The square root of 32 can be simplified and then combined with the square root of 2 into one single term. Since 32 is divisible by 16, which is the square root of 4, the term then becomes 4(square root of 2).

You then have 4(square root of 2) + (square root of 2) as your expression which simplifies to be equal to 5(square root of 2). The answer is then C.