Solve Square Root Multiplication: √1 × √25

Question

Solve the following exercise:

$\sqrt{1}\cdot\sqrt{25}=$

00:00 Solve the following problem

00:03 The root of a number (A) multiplied by the root of another number (B)

00:08 equals the root of their product (A times B)

00:11 Apply this formula to our exercise, and calculate the product

00:15 Break down 25 to 5 squared

00:19 The root of a squared number cancels out the square

00:22 This is the solution

To solve the expression $\sqrt{1} \cdot \sqrt{25}$ , we will use the Product Property of Square Roots.

According to the property, we have:

$\sqrt{1} \cdot \sqrt{25} = \sqrt{1 \cdot 25}$

First, calculate the product inside the square root:

$1 \cdot 25 = 25$

Now the expression simplifies to:

$\sqrt{25}$

Finding the square root of 25 gives us:

$5$

Thus, the value of $\sqrt{1} \cdot \sqrt{25}$ is $\boxed{5}$ .

After comparing this solution with the provided choices, we see that the correct answer is choice 3.

$5$