Questions: Submit Simplify. Rationalize the denominator: -2 + √5 8

 Submit
Simplify. Rationalize the denominator:
-2 + √5
8
Transcript text: Submit Simplify. Rationalize the denominator: -2 + √5 8
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Solution

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Solution Steps

Step 1: Identify the expression

The given expression is: \[ \frac{-2 + \sqrt{5}}{8} \]

Step 2: Check if the denominator can be rationalized

The denominator is \(8\), which is a rational number. Since there is no radical in the denominator, the expression is already in its simplest form with a rationalized denominator.

Step 3: Finalize the expression

No further simplification or rationalization is needed. The expression remains: \[ \frac{-2 + \sqrt{5}}{8} \]

Final Answer

\(\boxed{\frac{-2 + \sqrt{5}}{8}}\)

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