Solve: Square Root Division Problem √100/(√25×√4)

Because $\sqrt{100}$ is not in simplest form! Since 100 is a perfect square, $\sqrt{100} = 10$. Always simplify square roots of perfect squares to their integer values.

A perfect square is a number that equals some integer times itself. Common ones: $1 = 1^2$, $4 = 2^2$, $9 = 3^2$, $16 = 4^2$, $25 = 5^2$, $36 = 6^2$, $49 = 7^2$, $64 = 8^2$, $81 = 9^2$, $100 = 10^2$.

Yes! Since multiplication comes before division in order of operations, calculate $\sqrt{25} \times \sqrt{4} = 5 \times 2 = 10$ first, then divide: $\frac{10}{10} = 1$.

You probably forgot to multiply the denominator! Remember: the denominator is $\sqrt{25} \times \sqrt{4} = 5 \times 2 = 10$, not just $\sqrt{25} = 5$ or $\sqrt{4} = 2$ alone.

Absolutely! $\sqrt{25} \times \sqrt{4} = \sqrt{25 \times 4} = \sqrt{100} = 10$. Both methods give the same result, but calculating individual perfect squares is often easier and less error-prone.