Calculate the Square Root of Fraction 100/25: Step-by-Step Solution

Always simplify first! It's much easier to find $\sqrt{4}$ than to calculate $\frac{\sqrt{100}}{\sqrt{25}}$. This approach prevents calculation errors and saves time.

You can still use the property $\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}$. For example, $\sqrt{\frac{8}{2}} = \sqrt{4} = 2$, but $\sqrt{\frac{7}{3}} = \frac{\sqrt{7}}{\sqrt{3}}$.

Think of it as division: 100 ÷ 25 = 4. You can also see that 25 goes into 100 exactly 4 times, since $25 \times 4 = 100$.

Square your answer and see if you get the original number! Since we got 2, check: $2^2 = 4$. And since $\frac{100}{25} = 4$, our answer is correct.

Yes! Look for perfect square factors. Since 100 = 10² and 25 = 5², you can write $\sqrt{\frac{100}{25}} = \sqrt{\frac{10^2}{5^2}} = \frac{10}{5} = 2$.