Tell whether the square root of 0.25 is rational or irrational. Explain

Answer 1

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.