The number $23 + \sqrt{7}$ is

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Natural number

Irrational number

Rational number

None of these

answer is B.

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Detailed Solution

Given surd is

23 + \sqrt{7}

.
As we have

\sqrt{7}

is an irrational number ( since can not be expressed as p/q where q is not zero, and

23

is a rational number (since it can be expressed as p/q where q is not zero.)
then the sum of an irrational number and a rational number is again an irrational number.
So the correct option is 2.

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