Problem

$x^{2}=\frac{1}{8}$

Answer

Expert–verified
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Answer

Final Answer: \(\boxed{x = \pm 0.3535533905932738}\)

Steps

Step 1 :Given the equation: \(x^{2} = \frac{1}{8}\)

Step 2 :Take the square root of both sides: \(x = \pm\sqrt{\frac{1}{8}}\)

Step 3 :Simplify the square root: \(x = \pm\frac{1}{2\sqrt{2}}\)

Step 4 :Final Answer: \(\boxed{x = \pm 0.3535533905932738}\)

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