DuckieDai Radical Simplifier Python Program

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algebra · MIT License

Overview

Simplify a non-negative integer square root by extracting repeated square factors.

Usage

Inputs

Non-negative integer under the square root

Outputs

Simplified radical or perfect-square result

Units: The input is a non-negative integer.

Assumptions and limitations

Assumptions

The program simplifies real square roots only.

Constraints

Negative radicands are rejected.

Known failures

Decimal input is not accepted because the calculator source uses integer input.

Compatibility and review

Review status: Tested on a TI calculator
Tested on: Creator-owned TI-84 Plus CE Python calculator; exact .py transferred and launched individually
What happened: Passed: creator tested the exact program on a personal TI 84 Plus CE Python calculator and confirmed perfect square, already simple, and simplified radical workflows.
Dependencies: No imports
Suggested calculator name: P5RAD — you can give it another valid, unique name when you transfer it
Desktop test cases: Not available for this interactive-only source

This exact source auto-launches an interactive calculator session, so compatibility evidence comes from the recorded physical-device review rather than an importable desktop fixture.

Browser preview

Try the DuckieDai calculator screen

A browser implementation of the documented calculation flow. It does not execute the downloaded Python.

Simulation boundary: This preview uses a reviewed browser adapter. It does not execute the downloaded Python and does not prove TI-Python or calculator compatibility.

JavaScript is required for the optional browser simulation. Source viewing and downloading remain available without it.

Exact reviewed bytes

Source code

Download .py

View source below, copy it when JavaScript is available, or download the exact .py bytes.

"""DuckieDai Radical Simplifier for TI-84 Plus CE Python."""


def duckiedai_intro(program_name, wait=True):
    title = program_name[:16]
    empty = 16 - len(title)
    left = empty // 2
    right = empty - left

    print("+----------------------+")
    print("|   " + " " * left + title + " " * right + "   |")
    print("|                      |")
    print("|       __             |")
    print("|   ___(o )>  quack!   |")
    print("|   \\ <_. )           |")
    print("|    `---'             |")
    print("|     by DuckieDai     |")
    print("+----------------------+")
    print("Loading...")

    if wait:
        input("Press enter to start ")
        print("\n" * 8)


def clear_screen():
    print("\n" * 8)


def simplify_radical(n):
    outside = 1
    inside = n

    factor = 2

    while factor * factor <= inside:
        square = factor * factor

        while inside % square == 0:
            outside *= factor
            inside //= square

        factor += 1

    return outside, inside


def run_solver():
    clear_screen()

    print("RADICAL SIMPLIFIER")
    print("------------------")
    print("Enter number under")
    print("the square root.")
    print("")

    n = int(input("sqrt: "))

    if n < 0:
        clear_screen()
        print("NEGATIVE RADICAL")
        print("Use positive")
        print("number only.")
        return

    outside, inside = simplify_radical(n)

    clear_screen()

    print("RESULT")
    print("------")

    if n == 0:
        print("sqrt(0) = 0")

    elif inside == 1:
        print("Perfect square!")
        print("")
        print("sqrt(", n, ") =")
        print(outside)

    elif outside == 1:
        print("Already simple:")
        print("")
        print("sqrt(", inside, ")")

    else:
        print("sqrt(", n, ") =")
        print("")
        print(outside, "* sqrt(", inside, ")")


duckiedai_intro("Radical Simpl")

while True:
    run_solver()

    print("")
    again = input("Again? y/n: ")

    if again.lower() != "y":
        break


clear_screen()
print("DuckieDai says: done!")

"""DuckieDai Radical Simplifier for TI-84 Plus CE Python."""
def duckiedai_intro(program_name, wait=True):
title = program_name[:16]
empty = 16 - len(title)
left = empty // 2
right = empty - left
print("+----------------------+")
print("| " + " " * left + title + " " * right + " |")
print("| |")
print("| __ |")
print("| ___(o )> quack! |")
print("| \\ <_. ) |")
print("| `---' |")
print("| by DuckieDai |")
print("+----------------------+")
print("Loading...")
if wait:
input("Press enter to start ")
print("\n" * 8)
def clear_screen():
print("\n" * 8)
def simplify_radical(n):
outside = 1
inside = n
factor = 2
while factor * factor <= inside:
square = factor * factor
while inside % square == 0:
outside *= factor
inside //= square
factor += 1
return outside, inside
def run_solver():
clear_screen()
print("RADICAL SIMPLIFIER")
print("------------------")
print("Enter number under")
print("the square root.")
print("")
n = int(input("sqrt: "))
if n < 0:
clear_screen()
print("NEGATIVE RADICAL")
print("Use positive")
print("number only.")
return
outside, inside = simplify_radical(n)
clear_screen()
print("RESULT")
print("------")
if n == 0:
print("sqrt(0) = 0")
elif inside == 1:
print("Perfect square!")
print("")
print("sqrt(", n, ") =")
print(outside)
elif outside == 1:
print("Already simple:")
print("")
print("sqrt(", inside, ")")
else:
print("sqrt(", n, ") =")
print("")
print(outside, "* sqrt(", inside, ")")
duckiedai_intro("Radical Simpl")
while True:
run_solver()
print("")
again = input("Again? y/n: ")
if again.lower() != "y":
break
clear_screen()
print("DuckieDai says: done!")

Filename: P5RAD.py
Size: 2078 bytes
SHA-256: 81261a2e536f46b6eab215b00ccb4b36086f465172f2817452708a24cb6e3d5a

Transfer and launch

Confirm that your calculator is the Python-capable model named above. Check that its OS and Python App versions match the reviewed record.
Download the .py source above and verify its SHA-256 digest if your computer provides that option.
Use TI Connect CE to send the Python file to a compatible calculator. P5RAD is a suggested name; you may choose another valid, unique calculator name.
Open the Python App, select the program, and check sample inputs before relying on other results.

Read the complete installation, launch, troubleshooting, and removal guide.

Availability does not mean a teacher, school, or exam permits this program. Follow the applicable rules.

Version history

1.0.0 — current version, published 2026-09-27. Download this reviewed version

Any source change requires a new immutable version and digest. Historical downloads remain available only while their review records remain valid.

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