Q:

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?

Accepted Solution

A:
Answer: estimate of the value  [tex]3^{\sqrt{10} }[/tex] is 32.27 Step-by-step 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 [tex]3^{\sqrt{10} }[/tex]           ................2 put here √10 value in equation number  2   we get [tex]3^{3.162 277 7}[/tex]   = 32.2693267= 32.27 so  estimate of the value  [tex]3^{\sqrt{10} }[/tex] is 32.27