Is the square root of 100 a rational number?
Understand the Problem
The question is asking whether the square root of 100 is a rational number. A rational number can be expressed as the quotient of two integers, and since the square root of 100 is 10, which can be expressed as 10/1, it is indeed a rational number.
Answer
The square root of 100 is a rational number.
Answer for screen readers
The square root of 100 is a rational number.
Steps to Solve
- Identify the square root To find if the square root of 100 is a rational number, we first calculate the square root:
$$ \sqrt{100} = 10 $$
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Define what a rational number is A rational number is any number that can be expressed as the quotient of two integers, that is, in the form $ \frac{a}{b} $, where $a$ and $b$ are integers and $b \neq 0$.
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Express the square root as a fraction Next, we can express the number 10 as a fraction:
$$ 10 = \frac{10}{1} $$
- Check if both parts are integers The numbers 10 and 1 are both integers, and since the denominator is not zero, we confirm that it meets the criteria for a rational number.
The square root of 100 is a rational number.
More Information
The square root of 100 is 10, which is an integer and can be expressed in the form of $\frac{10}{1}$, confirming that it is rational. Rational numbers include all integers, as every integer can be expressed as a fraction.
Tips
- Confusing rational numbers with irrational numbers. Remember that rational numbers can always be written as a fraction of integers.
