is the square root of 37 rational or inrational

Answer 1

The square root of 37 is irrational. A number is considered rational if it can be expressed as a fraction \( \frac{a}{b} \) where \( a \) and \( b \) are integers and \( b \neq 0 \). Since 37 is a prime number and does not have a perfect square, its square root cannot be expressed as such a fraction. Therefore, \( \sqrt{37} \) is an irrational number.