Evaluate the Expression: Square Root of 49 Divided by 7

Question

Solve the following exercise:

497= \frac{\sqrt{49}}{7}=

Video Solution

Solution Steps

00:00 Solve the following problem
00:03 Break down 49 to 7 squared
00:08 The square root of any number (A) squared cancels out the square
00:11 Apply this formula to our exercise, and proceed to cancel out the square:
00:17 This is the solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Calculate the square root of 49.
  • Step 2: Divide the result by 7.

Now, let's work through each step:
Step 1: Calculate the square root of 49. We have 49 \sqrt{49} . Since 49 is a perfect square, the square root of 49 is 7 7 , because 7×7=49 7 \times 7 = 49 .
Step 2: Divide the result obtained in Step 1 by 7. So we have: 497=77\frac{\sqrt{49}}{7} = \frac{7}{7}

The result of this division is 1 1 , because dividing any number by itself (except zero) yields 1.

Therefore, the solution to the problem is 1 1 .

Answer

1 1