SQR: Your Square Root Sidekick

SQR: Your Square Root Sidekick

Need to find the square root of a number? Look no further than the SQR command, your trusty square root sidekick! This mathematical marvel takes any non-negative number and reveals its square root – that is, the value that, when multiplied by itself, equals the original number. It's like having a pocket calculator with a dedicated square root button, ready to help you solve all sorts of geometric, algebraic, and everyday problems!

Syntax

SQR(<number>)

Where: - <number>: The non-negative numeric value for which you want to find the square root. If you try to use a negative number, you'll get an ?ILLEGAL QUANTITY ERROR message.

Applications

The SQR command is your go-to tool when:

  • Working with geometry: Calculate the length of a side in a right triangle using the Pythagorean theorem (a² + b² = c²).
  • Solving quadratic equations: Find the roots of quadratic equations using the quadratic formula.
  • Calculating distances: Determine the distance between two points in a coordinate system.
  • Scaling graphics: Resize images or sprites by calculating scaling factors based on square roots.

Code Examples

1. Simple Square Root Calculation:

10 X = 16
20 Y = SQR(X)  :rem Y stores the square root of X
30 PRINT Y    :rem Output: 4

This example demonstrates how to find the square root of 16.

2. Pythagorean Theorem:

10 INPUT "Enter length of side A: "; A
20 INPUT "Enter length of side B: "; B
30 C = SQR(A*A + B*B)  :rem Calculate the hypotenuse C
40 PRINT "Hypotenuse: "; C

Here, SQR is used in the Pythagorean theorem to calculate the length of the hypotenuse of a right triangle.

SQR in the Wild: The Carpenter's Helper

Imagine you're a carpenter building a diagonal brace for a square frame. The SQR command can help you calculate the exact length of the brace, ensuring a perfect fit.

Don't get stuck on square one! With SQR in your Commodore 64 toolkit, you can easily conquer square roots and tackle a wide range of mathematical challenges. It's like having a personal math tutor ready to help you with your calculations. So embrace the power of SQR and let it be your guide to a world of square roots and beyond!


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