Evaluating Radical Expressions on a Graphing Calculator

This video tutorial demonstrates how to evaluate radical expressions using TI-83 or TI-84 calculators. It covers the difference between radical form and rational exponent form, providing examples of evaluating expressions using both methods. The tutorial explains how to use calculator functions for square, cube, and higher roots, and addresses handling non-perfect radicands, which result in decimal approximations. The video emphasizes the consistency of using rational exponents and concludes with a summary of the techniques discussed.

What is the relationship between the nth root of a number and its rational exponent form?

• The nth root of a number is equal to the number raised to the power of n.

• The nth root of a number is equal to the number raised to the power of n times itself.

• The nth root of a number is equal to the number raised to the power of 1/n.

• The nth root of a number is equal to the number raised to the power of n/1.

How would you express the cube root of a number in rational exponent form?

• As the number raised to the power of 2/3.

• As the number raised to the power of 1/2.

• As the number raised to the power of 3.

• As the number raised to the power of 1/3.

Which key combination is used to access the square root function on a TI-83 or TI-84 calculator?

• Press the ALPHA key and then X squared.

• Press the MATH key and select option 4.

• Press the MATH key and select option 5.

• Press the SECOND key and then X squared.

What is the result of evaluating the square root of 16 using a graphing calculator?

• 5

• 4

• 3

• 2

How do you enter the fourth root of a number on a TI-83 or TI-84 calculator?

• Press the SECOND key and then X squared.

• Press the index number, then MATH, and select option 4.

• Press the index number, then MATH, and select option 5.

• Press the ALPHA key and then X squared.

Why might a calculator return a decimal approximation for a radical expression?

• Because the calculator is in degree mode.

• Because the radicand is not a perfect nth root.

• Because the calculator cannot handle large numbers.

• Because the radicand is a perfect square.

What is the approximate value of the square root of 8 as given by a calculator?

• 3.0

• 2.5

• 3.16

• 2.83

Which form is more consistent for entering expressions on a calculator, according to the video?

• Rational exponent form

• Logarithmic form

• Polynomial form

• Radical form

What is the advantage of using rational exponents over radical form?

• It requires fewer calculator steps.

• It is more consistent for calculator input.

• It is more accurate.

• It is easier to visualize.

What is the main focus of the video tutorial?

• How to use logarithmic functions.

• How to solve quadratic equations.

• How to evaluate radical expressions on a graphing calculator.

• How to graph linear equations.