Question

ASAP HELP!!!!!!!!

What are the square roots of 144/256 ?
a) −72/128 and 72/128

b) −12/16 and 12/16

c) −12/18 and 12/18

d) −9/16 and 9/16

Answer 1

Recognize that both 144 and 256 are perfect squares; their sqrts are 12 and 16 respectively. Therefore,

144 12 3
sqrt{ ------ } = ----- = ----
256 16 4

Actually, there are negative roots as well as positive ones here; so (for example) write -12/16 as well as +12/16.

Answer 2

`\sqrt{ (144)/(256) } =+/- (12)/(16) =+/-3/4`

Answer is B. b) −12/16 and 12/16

Actually, it can be simplified further, and it would be +/-3/4, but you do not have this choice,
so the best answer is B.