Multiply Square Roots: Finding √a × √b Expression

Question

Choose the expression that is equal to the following:

$\sqrt{a}\cdot\sqrt{b}$

00:07 Let's find equivalent expressions!

00:12 When you multiply the square root of number N with the square root of number M,

00:18 it equals the square root of the product M times N.

00:23 Let's apply this formula to our exercise now.

00:26 And this gives us the solution.

To solve this problem, we can use the product property of square roots.

Step 1: Recognize the expression $\sqrt{a} \cdot \sqrt{b}$ .
Step 2: Apply the product property: $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$ .

This tells us that the original expression, $\sqrt{a} \cdot \sqrt{b}$ , simplifies to $\sqrt{a \cdot b}$ .

Thus, the equivalent expression is $\sqrt{a \cdot b}$ .

Among the given choices, choice 2 $\sqrt{a\cdot b}$ is the correct one.

$\sqrt{a\cdot b}$