Video Notes: Simplifying Radicals and Rationalizing Denominators

Vocabulary flashcards covering key concepts from Page 1 notes on simplifying radicals and rationalizing denominators.

Quotient Rule for Radicals

When dividing radicals, sqrt(a)/sqrt(b) = sqrt(a/b) provided a and b are nonnegative; used to simplify radical expressions.

Radical

A symbol representing a root (e.g., sqrt(x)); the expression under the radical is called the radicand.

Radicand

The expression inside a radical sign; the value being square-rooted.

Rationalize Denominator

Eliminate radicals from the denominator by multiplying numerator and denominator by a value that makes the denominator rational.

Multiply by sqrt(b)/sqrt(b)

A common method to rationalize a denominator containing sqrt(b); multiplies the denominator from sqrt(b) to b.

Product (21)(35)

The multiplication of 21 and 35; equals 735.

Simplify Expression

Rewrite an expression in its simplest form by combining like terms and reducing fractions or radicals.

Simplify Radical Fractions

Apply the quotient rule and, if needed, rationalize to simplify fractions involving radicals.