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Square Root Approximation Near Perfect Square (Level 1)

This math topic focuses on practicing the skill of square root approximation near perfect squares, specifically aiming at advancing understanding in squares and square roots. Students are presented with problems requiring them to approximate the square root of numbers slightly less or more than perfect squares, such as finding approximate values for the square root of 14, 28, and 38, using nearby perfect square roots (such as 4, 5, and 6) as starting points. Multiple choice answers are provided for each question, testing the ability to closely estimate square roots.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Square Root Approximation Near Perfect Square

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


What is a good approximation for the second square root?

36=638≈?\sqrt{36} = 6\\\sqrt{38} \approx ?