Answer:
√4 rational
√9 rational
√12 irrational
√17 irrational
√20 irrational
√25 rational
Step-by-step explanation:
2² = 4
3²=9
√12 = 2√3 ⇒ p²/q² = 3
p and q are prims (irreducible fraction), therefore has maximum common divisor 1, and belong to the Integers.
p>q
p²=3q² ⇒ p is multiple of 3
If p² is divisible for 3 and the MDC (p and q) is 1, p²=3 and q=1. But it is absurd, because 3 is not a perfect square.
the rest is tasted the same way, but it will take too long so I won't put ...
