Statement-I The product of two similar quadratic surds is an irrational number.
Statement-II The product of two dissimilar quadratic surds is a surd.

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Statement I is True, Statement II is True

Statement I is False, Statement II is False

Statement I is True, Statement II is False

Statement I is False, Statement II is True

answer is D.

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Detailed Solution

The product of two similar quadratic surds is a rational number.

I) Example : $(3 \sqrt{2}) (5 \sqrt{2}) = (3 \times 5) (\sqrt{2} \times \sqrt{2})$

$= 15 \times 2 = 30$ .

II) Example : $(3 \sqrt{7}) (5 \sqrt{2}) = (3 \times 5) (\sqrt{7} \times \sqrt{2})$

$= 15 \sqrt{14}$ is a surd.

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