Solve the Square Root Multiplication: √25 × √4

Question

Solve the following exercise:

254= \sqrt{25}\cdot\sqrt{4}=

Video Solution

Solution Steps

00:00 Solve
00:03 Square root of a number (A) times square root of another number (B)
00:07 equals the square root of their product (A times B)
00:11 Let's use this formula in our exercise and calculate the product
00:14 Calculate square root of 100
00:16 And this is the solution to the question

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:

254=52=10 \sqrt{25}\cdot\sqrt{4}=\\ 5\cdot2=\\ \boxed{10} Therefore, the correct answer is answer C.

Answer

10 10