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Calculate the given expression.$$e^{\sqrt{2}}$$

$$4.1133$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 3

The Number $e$

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

01:13

Calculate the given expres…

00:32

Simplify the given express…

01:21

00:30

Evaluate the given express…

00:17

Give the value of each exp…

00:09

01:16

Evaluate each expression w…

00:31

Evaluate the expression.

Simplify the expression.

00:24

Evaluate each expression. …

00:07

Without using a calculator…

00:28

Find the exact value of th…

00:21

01:11

All right, So we're examining the constant E in this and the number e actually comes from the perk formula. Andi per comes from the number of compounding. If you're compounding continuously, eso your what that means is you have an Internet number of compounding is a year basically, and it comes out to be this constant that Leonard Oiler figured out, Um, in the 17th century, could have been me a little bit later. But anyway, all you have to do in this problem is figure out where your square root but nus s o. E to the square root of two power gives you your rough estimate about 4.1133 I'd probably stop it. Three decimals. But that's just me. Um and yeah, the expectations that you are using a calculator. Nobody's expecting you to do this problem without a calculator. 4.113

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