Question

the order of surd √7 is​

Answer 1

Answer:

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

SOLUTION

TO DETERMINE

The order of surd √7

CONCEPT TO BE IMPLEMENTED

ORDER OF SURD

If an irrational numbers can be written in the form $\sf{ \sqrt[n]{x} }$

Where x is a rational number and n is a natural number

$\sf{Then \: \: n \: \: is \: the \: order \: of \: the \: surd \: \: \sqrt[n]{x} }$

EVALUATION

Here the given number is $\sf \sqrt[]{7}$

Which can be rewritten as

$\sf \sqrt[]{7}$

$\sf = \sqrt[2]{7}$

Comparing with $\sf{ \sqrt[n]{x} }$

We get n = 2 & x = 7

Hence order of the surd = 2

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