Question

Classify each square root as rational or irrational. √4√9 √12 √17 √20 √25

Answer 1

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 ...