Exploring Adding and Subtracting Radicals

How do you treat radicals when adding or subtracting them?

• As if they were exponents

• As if they were fractions

• As if they were variables

• As if they were constants

What is the result of adding 2√7 and 3√7?

• 5√49

• 5√7

• 5√14

• 6√7

If you have √2 + √3, what should you do?

• Subtract them to get √1

• Simplify to get 2√5

• Leave the expression as it is

• Combine them to get √5

Why can't you add √2 and √3 directly?

• Because they are both irrational

• Because they are both even numbers

• Because they are not like terms

• Because they are both prime numbers

What is the simplified form of √45?

• √9 + √5

• 9√5

• 5√3

• 3√5

After simplifying √80, what do you get?

• 8√10

• 4√5

• 2√20

• 5√16

What is the result of 6√5 - 4√5?

• 2√25

• √1

• 10√5

• 2√5

How do you simplify √27?

• 3√3

• 2√3

• 9√3

• √9 + √3

What is the result of 8√2 - 15√2?

• Negative 7√2

• Negative 23√2

• 7√2

• 23√2

What do you get when you add 9√7 and 4√7?

• 5√7

• 36√7

• 13√14

• 13√7