Calculator problemAlgebra Level 2
I want to calculate the square root of 7 correct to at least 5 decimal places. However, my calculator is dysfunctional and only the green keys work (the red keys do not).
How many key presses are required to display the square root of 7 starting from the All Clear (0) position.
For example, if I wanted to get \(0.1\), then starting from 0, pressing \( 10^x\) will give me 1. Pressing \( 10^x\) will give me \( 10\). Pressing \( 1/x \) will give me \( 0.1\).
Edit: Sorry. Somebody has pointed out that it can be done in 4 steps using Factorial of Pi. He is right. I was under the impression that the factorial function was defined only for non-negative integers.
Someone else has also pointed a way of doing this with fewer than 9 steps, so the options are not correct.
Anyway, for those still interested, try finding the minimum number of steps needed.