State true or false: Product of two irrational number is always irrational.

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

True

False

answer is B.

(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

The given statement is that the product of two irrational number is always irrational.
Here, we have to state if the given statement is true or not.
It is the property of irrational numbers that they are not closed under multiplication, i.e., multiplying two or more irrational numbers may give the product as either rational or irrational.
For example:

2 × 5 = 2 × 5 = 10

, which is irrational.

22 × 22 = 4 2 × 2 = 8

, which is rational.
Hence, the given statement is false.
Product of two irrational numbers can be rational or irrational.
So, the correct option is 2.

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