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

00:00 Solve the following problem
00:03 Break down 100 into 10 squared
00:07 Break down 25 into 5 squared
00:10 The square root of a squared number cancels the square, let's proceed to calculate the multiplication
00:14 This is the 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

More Questions

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