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

Question

Solve the following exercise:

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

Video Solution

Solution Steps

00:00 Solve
00:03 Square root of a number (A) multiplied by square root of another number (B)
00:07 equals the square root of their product (A multiplied by B)
00:11 Let's use this formula in our exercise and calculate the product
00:14 Let's calculate the square root of 36
00:16 And this is the solution to the question

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