Simplifying Radical Expressions in Algebra

What is a radicand?

• The process of simplifying radicals

• The coefficient of the radical

• The expression under the radical sign

• The number outside the radical sign

Why do we simplify radical expressions?

• To keep the expression exact without rounding

• To remove the radical sign

• To convert them into decimals

• To make them irrational numbers

What is the first step in simplifying a radical expression using the factor tree method?

• Move the pairs outside the radical

• Multiply the numbers inside the radical

• Create a factor tree for the radicand

• Identify pairs of numbers

What is the simplified form of the square root of 80?

• 2√20

• 4√5

• 5√4

• 8√10

How do you simplify the square root of 32?

• 16√2

• 2√16

• 4√2

• 8√4

What is the simplified form of the square root of 175?

• 5√25

• 25√7

• 7√5

• 5√7

When simplifying a radical expression with a coefficient, what should you do with the coefficient?

• Ignore it

• Add it to the radicand

• Multiply it with the numbers outside the radical

• Divide it by the radicand

What is the simplified form of 2√54?

• 2√27

• 3√18

• 6√6

• 4√27

How do you simplify the expression √(8x^6)?

• 4x^2√2

• 8x^3√2

• 2x^3√2

• 2x^2√4

What is the simplified form of √(90x^3y^4)?

• 3xy^2√10x

• 3x^2y√10

• 3x^2y^2√10

• 3xy^2√5x