Practice Finding Square Roots of Perfect Squares Using the Long Division Method

Introduction

This worksheet provides structured, step-by-step practice for finding square roots of perfect square numbers using the long division method. It is designed to help learners master the procedure with clarity and confidence.

What This Worksheet Focuses On

All problems in this worksheet involve perfect squares, ensuring that every square root is an exact whole number.

This allows learners to concentrate fully on understanding the long division process without the added complexity of decimal expansions.

The Long Division Method for Square Roots

The long division method is a systematic procedure used to find the square root of large numbers.

In this method, the number is broken into pairs of digits, and each step builds logically on the previous one until the final square root is obtained.

Step-by-Step Interactive Practice

Each problem is displayed in a familiar long division layout.

Clearly positioned input boxes guide learners to enter intermediate values and the final result following the exact flow of the method.

This step-wise input structure reinforces procedural accuracy and logical sequencing.

Configurable Difficulty Levels

Using the configuration controls, learners can adjust the difficulty of the problems.

• Select numbers whose square roots are 3-digit
• Select numbers whose square roots are 4-digit
• Select numbers whose square roots are 5-digit

This flexibility makes the worksheet suitable for gradual progression from moderate to advanced practice.

Solution Support

Each problem includes a Solution link.

Clicking this link opens the tool Square Root Calculator Using Long Division, which displays the complete working steps for that exact problem in a clear, long division format.

Skills Developed Through This Worksheet

• Mastery of the long division method for square roots
• Strong procedural accuracy in multi-step calculations
• Improved confidence with large perfect square numbers
• Clear understanding of square root structure

Online, Interactive, and Self-Checking

This worksheet runs entirely online in the browser.

As learners enter values at each step, the system checks the inputs automatically, helping reinforce accuracy and correct method execution.