Solve the Square Root Multiplication: √25 × √4

While $\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}$ is correct, it's faster to simplify first when dealing with perfect squares like 25 and 4. Direct simplification saves steps!

A perfect square has a whole number square root. Common ones to memorize: $\sqrt{1} = 1$, $\sqrt{4} = 2$, $\sqrt{9} = 3$, $\sqrt{16} = 4$, $\sqrt{25} = 5$, etc.

Think about which number times itself gives your radicand. For $\sqrt{25}$, ask: what number × itself = 25? The answer is 5, because 5 × 5 = 25.

Yes, but it's longer! You'd get $\sqrt{25 \times 4} = \sqrt{100} = 10$. Both methods work, but simplifying perfect squares first is usually quicker.

Then you'd need to use the multiplication property: $\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}$. But when both are perfect squares, direct simplification is the way to go!