The product of any two irrational numbers:

see full answer

Want to Fund your own JEE / NEET / Foundation preparation ??

Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*

An Intiative by Sri Chaitanya

Is always an irrational number.

It is always a rational number.

Is always an integer.

Can be rational or irrational.

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Concept- You need to be familiar with irrational numbers to be able to complete this puzzle. Irrational numbers can’t be expressed as

\frac{P}{Q}

where Q is not equal to 0. Knowing this will solve your problem.
Depending on the two numbers, the result of two irrational numbers might either be logical or irrational.
For example,

\sqrt{3} \times \sqrt{3}

is 3 which is a rational number whereas

\sqrt{2} \times \sqrt{4}

\sqrt{8}

which is an irrational number. As

\sqrt{3}, \sqrt{2}, \sqrt{4}

are irrational.
Hence, option 4 is correct.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET