Скачать или смотреть Python - Math - Roots (Square Root, Nth Root, Floor/Ceiling of Roots)

In-depth tutorial on taking roots in Python's math module, geared to beginners. Covers what roots are, how to take a square root and an nth root (i.e. a cubed root, a 4th root, etc.), how to take an "integer" square root - that is, the floor of a square root (new in Python 3.8) - how to take the ceiling of a square root, and how to take the floor or ceiling of an nth root. Time stamps are below.

Explanation of roots - 1:00
Printing the "radical" symbol - 3:22
Taking square root - 4:57
math.sqrt() gives a float, not an integer - 6:02
Taking square root when answer should be irrational (e.g. square root of 2) - 7:26
Storing your square root value in a variable - 8:16
Negative answers to square root questions? - 9:05
----sub-topics:
--------"the square root of four" has two correct answers
--------"positive two" and also "negative two." - 9:09
--------why a negative times a negative equals a positive - 10:15
--------math.sqrt() only gives you the positive answer - 12:47
--------how to get the negative answer instead with -math.sqrt() - 13:44
Square root of a negative number? - 14:28
----subtopics:
--------math.sqrt() gives an error when fed a negative number - 14:32
--------Intro to complex numbers and the imaginary number - 15:13
--------Using cmath.sqrt() to get the square root of a negative number - 15:35
Taking the nth root (e..g cubed root) of a number - 16:30
----subtopics:
--------The nth root of x is equal to x to the power of 1 over n (e.g. eight cubed is equal to 8 to the power of one third) - 17:23
--------Limitations to this method due to inherent issues with calculating float values - 19:11
--------Fixing your floating point arithmetic results with rounding - 21:46
Taking the nth root of a negative number and order of operations - 24:49
Integer Square Roots (Floor of Square Roots) with math.isqrt() - 28:23
Taking the Ceiling of a Square Root with (1 + math.isqrt(x-1)) - 32:25
----Using math.ceil(math.sqrt(x)) instead - 36:58
Integer/Floor Nth Roots (Integer Cubed Roots etc.) or Ceiling Nth Roots - 38:10

For more information on math.sqrt() and math.isqrt(), visit: https://docs.python.org/3/library/mat...

For more information on inherent issues with floating point arithmetic, visit: https://docs.python.org/3/tutorial/fl...

This tutorial uses Python 3.8.3. To download the current version of Python, visit: https://www.python.org/. It also uses PyCharm (Community Edition). To download PyCharm, visit: https://www.jetbrains.com/pycharm/.