Square root

Computer Science Math
1

How do you check square root from a number? Or you only use a calculator?

2

Use untitled script pic (22), replacing the "#" with whatever number you're finding the square root of.

3

In some sense it something like "calculator option" :

4

I don't understand.

5

Square root option in calculator:
image

6

I used to know how to do it on an abacus!

Here's Newton's method for sqrt(n):

  1. Make an initial guess, g.
  2. Compute the average of g and n/g. This is your new guess g.
  3. Repeat step 2 until g2 is close enough to n.

There are various ways to improve on this technique, but basically this is what calculators do. See SICP 1.3 for some of the improvements.

7

for BH: Interesting,

Check this link, 4 methods to calculate square root

8

Yeah, that long division one is more or less how you do it on an abacus.

9

Interesting!

10

Wasn't this called the Babylonian method?

11

I'll take your word for it, but I'm not familiar with the name.

12

Another way is to raise it to the power of 0.5 or 1/2:

sqrt_alt

(I think using fractional exponents are very useful if there's no - for example - "4th root" involved.)

13

But you didn't do anything. You only transformed operation on roots to operation on powers. In this topic I meant about method to count squares roots (without calculator and electric machines)

14

Yeah, I thought you were talking about using the operation on Snap!'s code syntax.