Simplifying Nth-Root Radicals

This tutorial covers the basics of radicals, including the definition of radicands and indices. It explains how to evaluate and simplify radicals, focusing on perfect roots and handling variables. The video also demonstrates using a calculator to approximate radicals, emphasizing the importance of rounding to three decimal places. Key concepts include understanding the difference between evaluating and simplifying, recognizing perfect roots, and using calculators effectively.

What is the term used to describe the number or expression under a radical sign?

• Exponent

• Index

• Radicand

• Coefficient

What must like radicals have in common in order to add or subtract them?

• Same exponent

• Same variable

• Same index and radicand

• Same coefficient

What does the index represent in a radical expression?

• The power to which the radicand is raised

• The base number of the logarithm

• The root of the radicand

• The coefficient of the radicand

What is the square root of 64?

• 6

• 8

• 7

• 9

What is the result of the cube root of negative 64?

• 8

• -4

• -8

• 4

How is the fourth root of 64 simplified using the number 16?

• Fourth root of 16 is 2

• Fourth root of 16 is 1

• Fourth root of 16 is 4

• Fourth root of 16 is 3

What is the correct way to approximate roots using a calculator?

• Do not round

• Round to two decimal places

• Round to three decimal places

• Round to four decimal places

Which button on a calculator is used for nth roots other than square roots?

• Root button

• Power button

• Math button

• Function button

What is the result of the 7th root of 500 rounded to three decimal places?

• 2.500

• 2.350

• 2.450

• 2.430

How do you enter the index when using the nth root function on a calculator?

• It is not necessary to enter the index

• Before selecting the root function

• After selecting the root function

• Using the exponent button