nth Roots and Rational Exponents

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3.1 nth Roots and Rational Exponents

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Presentation transcript:

nth Roots and Rational Exponents 7.1 nth Roots and Rational Exponents

Objectives/Assignment Evaluate nth roots of real numbers using both radical notation and rational exponent notation. Assignment: 13-61 odd

You can extend the concept of a square root to other types of roots. For instance, 2 is a cube root of 8 because: 3 is a fourth root of 81 because: In general, for an integer n greater than 1, If Then Where n is the index of the radical

Rewrite the expression with a rational exponent.

Rewrite the expression using radical notation

Real nth Roots

Evaluate these expressions with a calculator Evaluate these expressions with a calculator. Round your answer to two decimal places.

Evaluate without a calculator:

Solve the equation. Round answers to two decimal places.