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