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

Question

Solve the following exercise:

$\sqrt{100}\cdot\sqrt{25}=$

Video Solution

Solution Steps

00:00 Solution

00:03 Let's break down 100 to 10 squared

00:07 Let's break down 25 to 5 squared

00:10 The square root of a squared number cancels the square, let's calculate the multiplication

00:14 And this is the solution to the question

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:

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

Answer

$50$

Related Subjects

Question Types

Product Property of Square Roots: Applying the formula