If ‘a’ be real number and ‘n’ be positive integer such that a1/n is an irrational then a1/n is called surd of order ‘n’.
Rules:
- n√a = a1/n
- n√ab = n√a × n√b
- n√a/b = n√a / n√b
- (n√a)n = a
- m√n√a= mn√a
- (n√a)m = n√am
Exercise
- Find the value of (36)1/6.
- Find the value of √50 + √98.
- Find the value of 23√40 – 43√320 + 33√625 – 33√5
- Find the value of 3√2 × 6√3 × √5.
- Find the smallest among the following:
3√3, 3√2, 2√2, 3√4
- Find the largest among the following:
3√4, 4√6, 6√15, 12√245