Transcript text: Find all real square roots of 4 .
Solution
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:
\[
\boxed{2, -2}
\]