Determine if square root of, 75, end square root
75
is rational or irrational and give a reason for your answer.
Answer
Attempt 1 out of 2
The number square root of, 75, end square root
75
is
because
it cannot be reduced to a fraction.
To determine if the square root of 75 is rational or irrational, we can simplify the square root of 75 by finding its prime factorization:
75 = 3 * 5^2
Since there is a prime number (3) in the factorization that has an odd exponent (1), we know that the square root of 75 cannot be simplified to a rational number.
Therefore, the square root of 75 is irrational.