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Square roots and real numbers

Connect squares with square roots and distinguish rational and irrational real numbers.

Meaning

A square root of a is a number whose square is a. Real numbers include rational numbers and irrational numbers, which cannot be expressed as rational numbers.

Example

Practice for this concept

Scope and references

Topics

Square roots, radicals, irrational and real numbers, operations with square roots, rationalizing denominators

Learning goal

Connect squares with square roots and distinguish rational and irrational real numbers.

Helpful background

Check squaring and distinguish a positive length from the two roots of an equation.

Square roots and real numbers

These ordinary choice questions provide limited practice in this concept. They do not establish independent solution, full-concept performance, or mastery.