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Number Theory: Interesting Results

Classify the ...

Question

Classify the following number as Rational or Irrational:
$\sqrt{23}$

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Solution

$\sqrt{23}$
Since, 23 is not a perfect square,
$\sqrt{23}$ is an irrational number.

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Similar questions

Q. Classify the following number as rational or irrational :

(3 + \sqrt{23}) - \sqrt{23}

Q. Classify the following numbers as rational or irrational
(i)

\sqrt{23}

\sqrt{225}

Q. Classify the result as rational or irrational:

(3 + \sqrt{23}) - \sqrt{23}

Question 1 (ii)
Classify $(3 + \sqrt{23}) - \sqrt{23}$ as rational or irrational.

Q. Classify the following numbers as rational or irrational:
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\sqrt{23}

\sqrt{225}

0.3796

7.478478...

1.101001000100001...

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