Question

what is order of √ √10​

Answer 1

Answer:

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

Given: $\sqrt{10}$

TO find: order of the surd.

Solution:

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

Observe that, In $\[\sqrt[n]{a}\]$, n is called the order of the surd and a is called the radicand.

Find the order of the given surd $\[\sqrt {10} \]$.

Observe that in $\sqrt{10}$, it is a square root of 10.

Therefore, the order of the given surd will be 2.