Find the Square Root: Solving √36 Step by Step

36= \sqrt{36}=

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Step-by-step video solution

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00:00 Solve
00:03 Square root of any number (X) squared, root cancels square
00:15 We'll break down 36 to 6 squared
00:20 We'll use this formula in our exercise
00:23 Root and square cancel each other
00:25 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

36= \sqrt{36}=

2

Step-by-step solution

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

  • Step 1: Understand the definition of a square root.
  • Step 2: Identify which integer, when squared, gives 36.
  • Step 3: Verify this integer meets the required condition.
  • Step 4: Choose the correct answer from the given choices.

Now, let's work through each step:
Step 1: A square root of a number is a value that, when multiplied by itself, gives the original number. Here, we want y y such that y2=36 y^2 = 36 .
Step 2: We test integer values to find which one squared equals 36. Testing y=1,2,3,4,5, y = 1, 2, 3, 4, 5, and 6 6 gives:
- 12=1 1^2 = 1
- 22=4 2^2 = 4
- 32=9 3^2 = 9
- 42=16 4^2 = 16
- 52=25 5^2 = 25
- 62=36 6^2 = 36

Step 3: The integer 6 6 satisfies 62=36 6^2 = 36 . Therefore, 36=6 \sqrt{36} = 6 .

Step 4: The correct choice from the given answer choices is 6 (Choice 4).

Hence, the square root of 36 is 6 \mathbf{6} .

3

Final Answer

6

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\( \sqrt{100}= \)

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