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2−3\sqrt2-\sqrt32​−3​​ is:
Question

23\sqrt2-\sqrt3​ is:

A.

a whole number

B.

an irrational number

C.

a natural number

D.

a rational number

Correct option is B

Given:

The expression is 23. \sqrt{2} - \sqrt{3}.​​

Concept Used:

An irrational number is a number that cannot be expressed as the ratio of two integers.

Solution:
Since 2\sqrt{2}​ and 3\sqrt{3}​ are both irrational numbers, their difference, 23\sqrt{2} - \sqrt{3}​, is also an irrational number.

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