Solve the Square Root Multiplication: √25 × √4

Solve the following exercise:

25⋅4= \sqrt{25}\cdot\sqrt{4}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's solve this problem together!
00:11 The square root of a number, let's call it A, multiplied by the square root of another number, let's say B,
00:19 is the same as the square root of their product, A times B.
00:24 Now, apply this formula to our exercise and find the product.
00:29 Calculate the square root of one hundred.
00:32 Great! That's how you solve this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following exercise:

25⋅4= \sqrt{25}\cdot\sqrt{4}=

2

Step-by-step solution

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

25⋅4=5⋅2=10 \sqrt{25}\cdot\sqrt{4}=\\ 5\cdot2=\\ \boxed{10}

Therefore, the correct answer is answer C.

3

Final Answer

10 10

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

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

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