Solve Square Root: Evaluate √(196/4) Step by Step

Video Solution

Solution Steps

00:00 Solve the following problem

00:03 The root of a fraction (A divided by B)

00:07 Equals the root of the numerator (A) divided by the root of the denominator (B)

00:11 Apply this formula to our exercise

00:18 Break down 196 to 14 squared

00:22 Break down 4 to 2 squared

00:25 The root of any number (A) squared cancels out the square

00:32 Apply this formula to our exercise

00:37 This is the solution

Step-by-Step Solution

To solve the problem $\sqrt{\frac{196}{4}}$ , we can apply the following steps:

Let's go through these steps in detail:

Step 1: Simplify the fraction.

The fraction $\frac{196}{4}$ can be simplified by dividing 196 by 4.

$\frac{196}{4} = 49$

Step 2: Take the square root of 49.

$\sqrt{49} = 7$ because $7 \times 7 = 49$ .

Therefore, the solution to the problem is $\boxed{7}$ .