Question

Is square root of 100 irrational or rational?

Answer 1

Square root of 100 is a rational number. Because sqaure rooot 100 = 10. And, 10 can be written in the form rational number. Any number that can be written in the form of p/q where p and q are integers and q in not zero is called a rational number.

Answer 2

For this case we have the following number:
 $\sqrt{100}$
 By power properties we can rewrite the number.
 We have then:
 $\sqrt{100} = \sqrt{10*10}$
 $\sqrt{100} = \sqrt{10^2}$
 $\sqrt{100} = 10$
 We observe that the result can be written as the quotient between two whole numbers.
 For example:
 $\frac{200}{20} = 10$
 This means that the number is rational.
 Answer:
 square root of 100 is rational.