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