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

Question

Solve the following exercise:

100⋅25= \sqrt{100}\cdot\sqrt{25}=

Video Solution

Solution Steps

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 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.

Answer

50 50

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Related Subjects

Square Root Rules Combining Powers and Roots Square root of a product Combining root laws

Question Types

Product Property of Square Roots: Applying the formula