Exploring Operations with Radicals

This video tutorial covers operations with radicals, including simplifying, adding, subtracting, multiplying, and using the distributive property. It explains how to combine like terms and apply the FOIL method to expressions involving radicals. The tutorial emphasizes the importance of simplifying radicals before performing operations and provides examples to illustrate each concept.

What is the first step when adding or subtracting radicals?

• Combine the radicands

• Simplify the radicals

• Multiply the coefficients

• Divide the coefficients

When combining like terms in radicals, what part remains the same?

• The variables

• The coefficients

• The radicands

• The exponents

In the expression -4√5 - 2√5, what is the result?

• -6√5

• -6√10

• -2√5

• -4√10

How do you simplify the expression 10√7 + 6√7?

• 6√14

• 10√14

• 16√7

• 16√14

What is the result of 3 - 2√6?

• √3

• 1

• √6

• 1√6

When multiplying radicals, what should you multiply together?

• Only the radicands

• Neither the coefficients nor the radicands

• Only the coefficients

• Both the coefficients and the radicands

What is the simplified form of -3√16?

• -6

• -3√8

• -12

• -3√4

What is the result of 5 * -7√120?

• -35√30

• -35√120

• -70√30

• -70√120

How do you simplify 30√20?

• 60√10

• 30√10

• 30√4

• 60√5

What is the result of distributing 3√6 + √48?

• 3√6 + 4√3

• 3√6 + 4√6

• 3√6 + 3√48

• 3√6 + 6√3