Question #fd649

1 Answer
Aug 17, 2017

4.6

Explanation:

The solution to #x^3 = 95# is #x = root(3){95}#

So we just need to approximate #root(3)95#

We know that #64 <95<125#, which means #4 < x < 5#

Although 95 is about half way between 64 and 125, since #x^3# grows faster as #x# increases, we can pick a number a little closer to 5 than 4.

I picked the number 4.6 as an estimate.

To see how accurate this is, we can plug this into a calculator, and we get # x \approx 4.56#, so we were off by approximately 0.04