Solve the Square Root Multiplication: √25 × √4

Question

Solve the following exercise:

25⋅4= \sqrt{25}\cdot\sqrt{4}=

Video Solution

Solution Steps

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 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.

Answer

10 10

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