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Radical Functions & Rational Exponents

Radical Functions & Rational Exponents. Unit Objectives: Simplify radical and rational exponent expressions Solve radical equations Find the inverse of a function: algebraically & graphically Identify function attributes: domain and range

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Radical Functions & Rational Exponents

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  1. Radical Functions & Rational Exponents Unit Objectives: Simplify radical and rational exponent expressions Solve radical equations Find the inverse of a function: algebraically & graphically Identify function attributes: domain and range Perform function operations: add, subtract, multiply & compose Today’s Objective: I can simplify radical expressions.

  2. Review of Exponent Properties Simplify with positive exponents only.

  3. Roots & Radical Expressions Powers Roots Radicals 2 is the square root of 4 2 is the cube root of 8 2 is the fourth root of 16 a is the nthroot of b Index: Degree of root Radicand

  4. Simplifying Radicals Write radicand in factors raised to the nth power or less. Take the nth root of all factors to the nth power. Simplify in front of radical and under radical.

  5. Simplifying Radicals Write radicand in factors raised to the nth power or less. Take the nth root of all factors to the nth power. Simplify in front of radical and under radical.

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