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The product of 2\sqrt22​​ and 3\sqrt33​​ is:
Question

The product of 2\sqrt2​ and 3\sqrt3​ is:

A.

a rational number

B.

sometimes a rational number and sometimes an irrational number

C.

equal to 4

D.

an irrational number

Correct option is D

Given:

The product of 2\sqrt2​ and 3\sqrt3​ is:

Concept Used:

An irrational number is a number that cannot be expressed as a fraction pq\frac pq, where p and q are integers and q is not equal to 0.

Solution:

2×3=6\sqrt 2\times\sqrt 3 =\sqrt 6

6\sqrt 6​ is an irrational number.

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