Exploring Operations with Radicals

In this video, Miss Smith explains how to multiply and divide radicals. She introduces key vocabulary such as coefficient, index, and radicand. The video covers the steps for multiplying and dividing radicals, including handling coefficients and radicands separately. Miss Smith provides examples and demonstrates how to simplify radicals using factor trees. The video concludes with a review of exponent rules and additional practice problems.

What is the term for the number outside of the radical?

• Radicand

• Coefficient

• Index

• Root

What is the first step in multiplying radicals?

• Multiply the radicands

• Divide the coefficients

• Multiply the coefficients

• Simplify the radicals

What is the result of multiplying 4 times the square root of 7 by 6 times the square root of 2?

• 24 times the square root of 9

• 20 times the square root of 9

• 24 times the square root of 14

• 20 times the square root of 14

When multiplying exponents, what do you do with the exponents?

• Divide them

• Add them

• Multiply them

• Subtract them

What is the simplified form of the square root of 25x^2?

• 25x

• 5x^2

• 5x

• 25x^2

What method should you think of when multiplying binomials?

• Simplify

• Factor Tree

• FOIL

• Distributive

What is the result of multiplying (4 - 3√6) by (√7 - 3)?

• -12 + 4√7 - 3√6 + √42

• -12 + 4√7 - 3√6 + √49

• -12 + 4√6 - 3√7 + √49

• -12 + 4√6 - 3√7 + √42

What is the first step in dividing radicals?

• Divide the radicands

• Multiply the coefficients

• Divide the coefficients

• Simplify the radicals

What is the simplified form of the square root of 72 divided by the square root of 8?

• √1

• √72

• √8

• √9

What is the simplified form of -6√20x^4?

• -6x^4√5

• -12x^4√5

• -6x^2√5

• -12x^2√5