Questions: Find all real square roots of 4 .

Find all real square roots of 4 .
Transcript text: Find all real square roots of 4 .
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Solution

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Solution Steps

To find all real square roots of a number, we need to identify all real numbers that, when squared, equal the given number. For the number 4, we check which numbers squared result in 4. Both 2 and -2 satisfy this condition because \(2^2 = 4\) and \((-2)^2 = 4\). Therefore, the real square roots of 4 are 2 and -2.

Step 1: Identify the Square Roots

To find all real square roots of \(4\), we need to determine the values of \(b\) such that \(b^2 = 4\).

Step 2: Calculate the Positive Square Root

The positive square root of \(4\) is calculated as: \[ \sqrt{4} = 2 \]

Step 3: Calculate the Negative Square Root

The negative square root of \(4\) is: \[ -\sqrt{4} = -2 \]

Final Answer

The real square roots of \(4\) are \(2\) and \(-2\). Thus, the answer is: \[ \boxed{2, -2} \]

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