Multiply Square Roots: Finding √a × √b Expression

Question

Choose the expression that is equal to the following:

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

00:00 Find equivalent expressions

00:03 The product of the square root of number (N) and the square root of number (M)

00:07 equals the square root of their product (M times N)

00:12 Apply this formula to our exercise

00:15 This is 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.

$\sqrt{a\cdot b}$