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Rational and radical expressions

Calculate with rational and radical expressions while respecting denominator and radical conditions.

Meaning

A rational expression is a ratio of polynomials. A radical expression retains a radical involving a variable. Over the reals, denominators must be nonzero and even-root radicands nonnegative.

Example

Practice for this concept

Scope and references

Topics

Fractional expressions, expressions with radicals, operations and domain conditions

Learning goal

Calculate with rational and radical expressions while respecting denominator and radical conditions.

Helpful background

Explore fraction operations, square roots, and the prohibition on division by zero.

Rational and radical expressions

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