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Is square root of 100 irrational or rational?

User UberMouse
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2 Answers

4 votes
For this case we have the following number:

√(100)
By power properties we can rewrite the number.
We have then:

√(100) = √(10*10)

√(100) = √(10^2)

√(100) = 10
We observe that the result can be written as the quotient between two whole numbers.
For example:

(200)/(20) = 10
This means that the number is rational.
Answer:
square root of 100 is rational.
User Aldux
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7.5k points
2 votes
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.
User Blondie
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9.5k points