Question

write the order of the following surds √38
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Answer 1

Answer:

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

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

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

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Answer 2

Answer:

We know, the order of surds is the root power of number in surds.

Then,

(i) 101=10121,  that is, order =2.

(ii) 35=531, that is, order =3.

(iii) 429=2941,  that is, order =4.

(iv) 47=741,  that is, order =4.

(v) 743=22×3×71=276,  that is, order =7.