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

Problem

e^ln(√(,2))

Solution

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

e^ln(√(,2))

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

e^ln(u)=u

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

e^ln(√(,2))=√(,2)

Final Answer

e^ln(√(,2))=√(,2)

Want more problems? Check here!