Calculate the Square Root of 169: Basic Radical Evaluation

169= \sqrt{169}=

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Step-by-step video solution

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00:00 Solve
00:04 The square root of any number (X) squared, root cancels square
00:13 We'll break down 169 to 13 squared
00:17 We'll use this formula in our exercise
00:21 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

169= \sqrt{169}=

2

Step-by-step solution

To solve for the square root of 169, we need to determine which whole number, when multiplied by itself, equals 169.

  • Step 1: Recall that squaring a number means multiplying the number by itself. Therefore, we need to find a number n n such that n×n=169 n \times n = 169 .
  • Step 2: Check known square values or perform some calculations: 13×13=169 13 \times 13 = 169 .
  • Step 3: Verify that 132=169 13^2 = 169 , confirming that 13 is the square root.

Therefore, the solution to the problem is 169=13 \sqrt{169} = 13 .

3

Final Answer

13

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\( \sqrt{100}= \)

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