Upon prime factorizing 9 i.e. 32, we find that all the prime factors are in even power. This implies that the square root of 9 is a positive integer. Therefore, the square root of 9 is rational.
Why is 8is an irrationalnumber
Since √8 is in between those two numbers, but there's no integer between 2 and 3 to be its root, √8 is irrational.
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Answer:
Why is the Square Root of 9 a Rational Number?
Upon prime factorizing 9 i.e. 32, we find that all the prime factors are in even power. This implies that the square root of 9 is a positive integer. Therefore, the square root of 9 is rational.
Why is 8 is an irrational number
Since √8 is in between those two numbers, but there's no integer between 2 and 3 to be its root, √8 is irrational.