Question

Using rational approximations, what statement is true?
12 −−−√<π
16−−√>4
12 −−−√ >π
or 16 −−−√<4

Answer 1

√12 > π.

Reason: π < 3.2 (since 3.2 = 16/5 and π ≈ 3.14159), so π^2 < 3.2^2 = 10.24 < 12. Hence π^2 < 12, so π < √12. Also √16 = 4, so the statements about √16 being >4 or <4 are false.