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

Complete the following exercise:

1964= \sqrt{\frac{196}{4}}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Complete the following exercise:

1964= \sqrt{\frac{196}{4}}=

2

Step-by-step solution

To solve the problem 1964 \sqrt{\frac{196}{4}} , we can apply the following steps:

  • Step 1: Simplify the fraction 1964\frac{196}{4}.
  • Step 2: Compute the square root of the result from Step 1.

Let's go through these steps in detail:

Step 1: Simplify the fraction.

The fraction 1964\frac{196}{4} can be simplified by dividing 196 by 4.

1964=49 \frac{196}{4} = 49

Step 2: Take the square root of 49.

49=7\sqrt{49} = 7 because 7×7=497 \times 7 = 49.

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

3

Final Answer

7

Practice Quiz

Test your knowledge with interactive questions

Choose the expression that is equal to the following:

\( \sqrt{a}:\sqrt{b} \)

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