Question

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

Use your calculator to find approximations to four decimal places of the endpoints of the intervals in part (a).

Answer 1

correct answer is 9.4867

Explanation:

as per question given data

√10 ≈ 3.162 277 7

to find out

approximate the number 3√10

solution

as we have given that √10 value is

√10 ≈ 3.162 277 7 .................1

so

when we find 3√10 ................2

put here √10 value in equation 2

we get 3√10 that is

so

3√10 = 3 × 3.162 277 7

3√10 = 9.486833

so correct answer is 9.4867