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.
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.
