Question

What is the exact value for the expression the square root of 52− the square root of 13 + the square root of 117 ? Simplify if possible.

Select one:
a. 4 the square root of 13
b. the square root of 13
c. 2 the square root of 39
d. 8 the square root of 39

Answer 1

√52 -√13 +√117

= 2√13 -√13 +3√13

= 4√13 . . . . matches selection A

_____

√52 = √(4·13) = (√4)(√13) = 2√13

√117 = √(9·13) = (√9)(√13) = 3√13