Add and Subtracting Radicals

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

• TRUE

• FALSE

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

• TRUE

• FALSE

√5 + √20

• 5

• 25

• 3√5

• 2√3

√300 + √75

• 15√3

• √375

• 20√5

• 16√5

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

Mathematical Equivalence

ON

(3√6)+(4√6)

• 42

• 7√6

• 7√12

• √12

(5√7)-(11√7)

• -6√7

• 16√7

• 16√14

• -6

Add:  4√7 - 10 √7 + 7√7

• -6√7

• 14√7

• -3√14

• √7