Evaluate the Expression: Square Root of 49 Divided by 7

Solve the following exercise:

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's solve this math problem together.
00:10 First, we express 49 as 7 to the power of 2.
00:14 Remember, the square root of a number A squared, removes the square.
00:19 Now, apply this idea here. Cancel out the square, and move forward.
00:25 Great job! This is the solution. Well done!

Step-by-step written solution

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1

Understand the problem

Solve the following exercise:

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

2

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 .

3

Final Answer

1 1

Practice Quiz

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Choose the expression that is equal to the following:

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

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