Question

1. Write the following surds in exponential form:
i) √2 ii)3√9 iii) 5√20 iv)17√19
2.Write the surds in radical form:
i) 5^1/7 ii) 17^1/6 iii) 5^2/5 iv) 142^1/2

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Answer 1

The order of a surd indicates the index of root to be extracted.

In a−−√nan, n is called the order of the surd and a is called the radicand.

For example: The order of the surd z√5z5 is 5.

(i) A surd with index of root 2 is called a second order surd or quadratic surd.

The surds which have the indices of root 2 are called as second order surds or quadratic surds. For example√2, √3, √5, √7, √x are the surds of order 2.

Example: √2, √5, √10, √a, √m, √x, √(x + 1) are second order surd or quadratic surd (since the indices of roots are 2).

Answer 2

Answer:

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