Simplifying Radicals: Key Concepts and Techniques

This video tutorial covers simplifying radical expressions, starting with basic vocabulary such as radicals, square roots, and surds. It explains the concept of perfect squares and provides rules for simplifying radicals. The tutorial also demonstrates methods for simplifying non-perfect square radicals using factorization. Finally, it offers practice problems and homework instructions to reinforce learning.

What is the term used to describe the symbol that represents the operation of finding roots?

• Variable

• Radical sign

• Exponent

• Coefficient

If no number is visible in the radical sign, what number is assumed to be there?

• 0

• 1

• 3

• 2

What type of number is a 'surd'?

• Rational number

• Natural number

• Irrational number

• Integer

Which of the following is a perfect square?

• 18

• 25

• 50

• 99

What is the square root of 16?

• 5

• 4

• 3

• 2

How can the expression √18 be simplified?

• 2√3

• 3√2

• 3√3

• 4√2

What is the result of simplifying the expression √50 using a factor tree?

• 7√2

• 5√3

• 2√5

• 5√2

What is the simplified form of √120 using factorization?

• 10√12

• 2√30

• 4√30

• 6√5

If you simplify √98, what do you get?

• 9√3

• 7√3

• 9√2

• 7√2

What is the simplified result of √80?

• 4√10

• 8√10

• 8√5

• 4√5