Question

Use the process outlined in the lesson to approximate the number 3√10. Use the approximation √10 ≈3.162 277 7.

Based on your work in part (b), what is your best estimate of the value of 3√10?

Answer 1

estimate of the value
`3^(√(10) )` is 32.27

Explanation:

as per question given data

√10 ≈ 3.162 277 7

to find out

what is your best estimate of the value of 3√10

solution

as we have given that √10 value that is here

√10 ≈ 3.162 277 7 ........................1

so

when we find
`3^(√(10) )` ................2

put here √10 value in equation number 2

we get

`3^(3.162 277 7)`

= 32.2693267

= 32.27

so estimate of the value
`3^(√(10) )` is 32.27