Calculate √100 × √25: Multiplying Square Roots Step-by-Step

Solve the following exercise:

100⋅25= \sqrt{100}\cdot\sqrt{25}=

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's solve this problem together.
00:11 First, we break down one hundred into ten times ten, which is ten squared.
00:17 Next, break down twenty-five into five times five, that's five squared.
00:23 Remember, the square root of a squared number cancels the square. Now, let's multiply.
00:29 And there you have it, that's our solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following exercise:

100⋅25= \sqrt{100}\cdot\sqrt{25}=

2

Step-by-step solution

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

100⋅25=10⋅5=50 \sqrt{100}\cdot\sqrt{25}=\\ 10\cdot5=\\ \boxed{50} Therefore, the correct answer is answer D.

3

Final Answer

50 50

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

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

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Rules of Roots questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations

Product Property of Square Roots

Solve the Square Root Multiplication: √25 × √4
Click to solve
Multiply Square Roots: Solving √9 × √4 Step by Step
Click to solve

Rules of Roots Combined

Solve the Square Root Expression: Simplifying √(100x²)
Click to solve
Simplify the Square Root Expression: √(49x²)
Click to solve