Question

Question #fd649

Answer 1

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