Calculate the Square Root: Solving √225 Step by Step

225= \sqrt{225}=

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Step-by-step video solution

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00:00 Solve
00:05 The square root of any number (X) squared, root cancels square
00:18 We break down 225 to 15 squared
00:24 We will use this formula in our exercise
00:36 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

225= \sqrt{225}=

2

Step-by-step solution

To solve the problem, we will follow these steps:

  • Step 1: Identify the perfect squares near 225.
  • Step 2: Calculate to find which integer when squared equals 225.

Now, let's work through the steps:

Step 1: The perfect squares around 225 are 196=142196 = 14^2, 225=152225 = 15^2, and 256=162256 = 16^2.
Step 2: We calculate 152=15×15=22515^2 = 15 \times 15 = 225, therefore, 225=15\sqrt{225} = 15.

Therefore, the solution to the problem is 225=15 \sqrt{225} = 15 .

Accordingly, the correct answer choice is option 2: 15.

3

Final Answer

15

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\( \sqrt{100}= \)

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