Question

Is root 15 upon root 3 a rational number, since it is written in the form of p/ q . ( True or False )

Answer 1

Answer :

False

Justification:

$\frac{ \sqrt{15} }{ \sqrt{3} } = \frac{ \sqrt{5 \times \sqrt{3} } }{ \sqrt{3} } = \sqrt{5}$

Thus, on simplifying, it turns out to be an irrational number again.

∴ The given statement is false.

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