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Popular >

simplify e^{-2ln(4+sqrt(15))}

Solution

simplify

e^{- 2 l n (4 + 15)}

Solution

31 - 815

+1

Decimal Notation

0.01613 \dots

Solution steps

e^{- 2 l n (4 + 15)}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{2 l n (4 + 15)}}

e^{2 l n (4 + 15)} = 31 + 815

= \frac{1}{31 + 8 15}

Rationalize

\frac{1}{31 + 8 15} : 31 - 815

= 31 - 815

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Frequently Asked Questions (FAQ)

What is e^{-2ln(4+sqrt(15))} ?
The solution to e^{-2ln(4+sqrt(15))} is 31-8sqrt(15)