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Square Roots Approximating Between Perfect Square Roots (Level 4)

This math topic focuses on improving the ability to approximate and find the closest perfect square roots that lie above and below a given non-perfect square root value. The problems require identifying two numbers, one a perfect square less than and the other a perfect square more than the specified number. The skill being tested is crucial in understanding the properties and relationships between numbers, particularly in the context of squares and square roots at an advanced level.

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

Square Roots Approximating Between Perfect Square Roots

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


Find the closest perfect square roots above and below the given square root

?<157<?\sqrt{?} < \sqrt{157} < \sqrt{?}