The square root of 0.25 is \( \sqrt{0.25} \). To determine whether this number is rational or irrational, we can simplify it.
First, we know that \( 0.25 \) can be written as a fraction:
\[ 0.25 = \frac{25}{100} \]
Next, we simplify this fraction:
\[ \frac{25}{100} = \frac{1}{4} \]
Now we can find the square root:
\[ \sqrt{0.25} = \sqrt{\frac{1}{4}} = \frac{\sqrt{1}}{\sqrt{4}} = \frac{1}{2} \]
The result, \( \frac{1}{2} \), is a rational number because it can be expressed as a fraction where both the numerator (1) and the denominator (2) are integers, and the denominator is not zero.
Therefore, the square root of 0.25 is rational.
3 answers