Square Roots of Decimals and Fractions

Explain the inverse relationship between squaring and taking a square root, and determine the principal square roots of whole-number perfect squares from 0 to 400.

Determine exact square roots of perfect-square fractions and terminating decimals by simplifying or converting them to fractions.

Estimate square roots of non-perfect-square fractions and decimals using nearby perfect-square benchmarks, and verify an estimate by squaring it.

Solve square-area, perimeter, and right-triangle problems by selecting and applying square roots or the Pythagorean theorem.