Is the square root of 36 rational or irrational?
Understand the Problem
The question is asking whether the square root of 36 is a rational number or an irrational number. To solve this, we will need to find the square root of 36 and determine its classification as either rational or irrational.
Answer
The square root of 36 is a rational number.
Answer for screen readers
The square root of 36 is a rational number.
Steps to Solve
- Calculate the Square Root of 36
First, we need to find the square root of 36. The square root of a number $x$ is a number $y$ such that when $y$ is squared, it gives $x$. So, we find:
$$ \sqrt{36} = 6 $$
- Determine the Type of Number
Next, we need to determine if the result (6) is a rational or irrational number. A rational number is any number that can be expressed as a fraction $\frac{a}{b}$ where $a$ and $b$ are integers and $b \neq 0$. Since 6 can be expressed as $\frac{6}{1}$, it is a rational number.
The square root of 36 is a rational number.
More Information
The square root of 36 equals 6, which is a whole number. All whole numbers are considered rational because they can be represented as fractions with a denominator of 1.
Tips
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