Arithmatical - Surds and Indices
DIRECTIONS : Important Facts and Formulae
| 1. | Laws of Indices |
|---|---|
| i. am x an = am + n |
|
| ii. am / an = am - n |
|
| iii. (am)n = amn |
|
| iv. (ab)n = anbn |
|
| v. (a/b)n = an/ bn |
|
| iv. a0 = 1 |
| 2. | Surds: |
|---|---|
| Let a be rational number and n be a positive integer such that a(1/n) =
n√a. |
| 3. | Laws of Surds: |
|---|---|
i. n√a = a (1/n) |
|
ii. n√ab =
n√a x n√b |
|
iii. n√a/b =
n√a / n√b |
|
iv. (n√a)n = a |