nth Root & Rational Exponents

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Presentation transcript:

nth Root & Rational Exponents 3.1 nth Root & Rational Exponents

Radicals Dude! Index Square Root Cube root Radicand 4th Root nth Root

What does it mean Dude? Square Root Cube root 4th Root

So….

Writing expressions with nth Roots vs. Rational Exponents Radical Expression Exponential Expression

So What do You Think About... Radical Expression Exponential Expression

In Summary

Cube root Same as Can x be negative? When? When Index is Odd!

Number of Solutions to Consider Odd Index Only 1 real root Even Index 2 real roots

Negative Exponents Try one!

Try One!

Approximately Dude! Evaluate the expression using a calculator. Round the results to the 100ths when appropriate.

Solve the equation. Round to the 100ths.

The volume of a beach ball can be approximated using the model where r is the radius of the ball in inches. Estimate the radius of the ball if the volume is 268 cubic inches.

Your Turn Dude! HOMEWORK: Page 112 #1–35 odd,