2.3 Adding and Subtracting Radical Expression

•     When adding and subtracting radical the startegies for simplyfying polynomials can be used to symplify sums and differences of radicals. Like terms or like radicals in a sum or difference of radicals have the same radicand and the same index

Example

1. 7√9 – 4√9 = 3√9

• 7√9 and 4√9 are like terms becasue they have the same radicand and the same index. combine like terms.

2. ∛384 – ∛162 + ∛750

= 4∛6 – 3∛6 + 5∛6

= ∛6 + 5∛6

= 6∛6

• The radicands are different , so simplyify each radical, then solve it