Adding and Subtracting Like Radicals

To add and subtract radicals, add and subtract like radicals or similar radicals.

• TRUE

• FALSE

2. Adding and subtracting radical expressions is very much similar to adding and subtracting similar terms of polynomials.

• TRUE

• FALSE

(3√6)+(4√6)

• 42

• 7√6

• 7√12

• √12

(5√3)+(6√3)

• 11√3

• √3

• 11√6

• 99

Q1. What is the value of the expression?

• A) 11√5

• B) 11√10

• C) 5√5

• D) 12√10

When adding or subtracting radicals step 2 tells us to: ​ (a)   radicals with the ​ (b)   ​ (c)   and ​ (d)   ​ (e)   . Only these can be combined!

• Identify

• same

• index

• radicand

Mathematical Equivalence

ON

Q1. What is the value of the expression?

• A) 8√6

• B) 8√12

• C) 12√6

• D) 12√12

Add:  4√7 + 10 √7 + 7√7

• -6√7

• 14√7

• -3√14

• 21√7

2√5 + 4√5 =

• 6√10

• 8√10

• 8√5

• 6√5