Multiply Square Roots: Solving √9 × √4 Step by Step

Yes! You could calculate $\sqrt{9 \times 4} = \sqrt{36} = 6$. Both methods work, but when dealing with perfect squares like 9 and 4, it's often easier to simplify each square root first.

A perfect square is a number that equals some integer times itself. For example: 9 = 3² and 4 = 2². Common perfect squares include 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

If they're not perfect squares, use the multiplication property: $\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}$. Then see if you can simplify the result.

Because both $\sqrt{9}$ and $\sqrt{4}$ simplify to whole numbers (3 and 2). When you multiply whole numbers, you get another whole number, not a square root!

Square your final answer! Since we got 6, check: $6^2 = 36$. Also verify that $9 \times 4 = 36$. Both give the same result, so our answer is correct ✓