Adding and Subtracting Radical Expressions Explained

This video tutorial covers the addition and subtraction of rational expressions, focusing on identifying and combining like terms. It explains how to simplify expressions with similar and different radicals, including cube roots. The tutorial also demonstrates distributing and multiplying radicals, multiplying conjugates, and expanding complex expressions using the FOIL method.

What is the result of adding 4√5 and 6√5?

• 10√5

• 10√10

• 4√5

• 6√5

Why can't you add 4√3 and 6√5?

• Because they are both coefficients

• Because they are both integers

• Because they are both radicals

• Because they are not like terms

Simplify: 7√2 - 3√2 + 5√2

• 9√2

• 7√2

• 4√2

• 5√2

What is the simplified form of 3√8 - 5√18?

• 6√2

• -6√2

• 9√2

• -9√2

Simplify: 4√12 + 3√27 - 2√48

• 7√3

• 8√3

• 6√3

• 9√3

What is the result of multiplying 4√5 and √7?

• 4√5

• 4√35

• 4√12

• 4√7

What is the result of multiplying 3 and -√5?

• √15

• -3√5

• 3√5

• -√15

What is the result of multiplying (4 - √6) and (4 + √6)?

• 4

• 6

• 16

• 10

Expand and simplify: (2 + √3)²

• 4 + 2√3

• 7 + 4√3

• 5 + 3√3

• 6 + 4√3

Expand and simplify: (5 + √2)²

• 27 + 10√2

• 20 + 10√2

• 25 + 5√2

• 30 + 5√2