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

Question

Solve the following exercise:

94= \sqrt{9}\cdot\sqrt{4}=

Video Solution

Solution Steps

00:07 Let's solve this math problem together.
00:10 The square root of number A, times the square root of number B, is the same as the square root of A times B.
00:18 So, let's use this formula for our exercise and find the product.
00:23 Let's calculate the square root of thirty-six.
00:27 And that's how we find the solution!

Step-by-Step Solution

We can simplify the expression without using the laws of exponents, since the expression has known square roots, so let's simplify the expression and then perform the multiplication:

94=32=6 \sqrt{9}\cdot\sqrt{4}=\\ 3\cdot2=\\ \boxed{6} Therefore, the correct answer is answer B.

Answer

6 6