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

Solve the following exercise:

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following exercise:

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

2

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.

3

Final Answer

6 6

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

\( \sqrt{\frac{2}{4}}= \)

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