Solve the Square Root Expression: Finding the Value of √4

4= \sqrt{4}=

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Step-by-step video solution

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00:00 Solve
00:03 Root of any number (X) squared, root cancels square
00:10 We'll break down 4 to 2 squared
00:13 We'll use this formula in our exercise
00:16 Root and square cancel each other
00:19 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

4= \sqrt{4}=

2

Step-by-step solution

To solve this problem, we'll determine the square root of the number 4.

  • Step 1: Recognize that the square root of a number is asking for a value that, when multiplied by itself, yields the original number. Here, we seek a number yy such that y2=4y^2 = 4.
  • Step 2: Identify that 44 is a perfect square. The numbers 22 and 2-2 both satisfy the equation 22=42^2 = 4 and (2)2=4(-2)^2 = 4.
  • Step 3: We usually consider the principal square root, which is the non-negative version. Thus, 4=2\sqrt{4} = 2.

Therefore, the solution to the problem is 2, which corresponds to the correct choice from the given options.

3

Final Answer

2

Practice Quiz

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\( \sqrt{100}= \)

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