Evaluate e^( natural log of square root of 2)

Problem

eln(√(,2))

Solution

1. Interpret the expression by converting the plain English terms into mathematical notation.

eln(√(,2))

2. Identify the inverse relationship between the natural exponential function ex and the natural logarithmic function ln(x)

eln(u)=u

3. Apply the property of inverse functions where eln(u)=u to the given expression, letting u=√(,2)

eln(√(,2))=√(,2)

Final Answer

eln(√(,2))=√(,2)

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