Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6

Q.

State whether the statement is true or false: 2 5   is a rational number.


see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

a

True

b

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

Now, we have the number as 2 5  .
It can be observed that it is in the form of a fraction, whose denominator i.e., 5   is an irrational number as it is a non-terminating and non-repeating decimal.
Now, as per the definition of a rational number, the denominator must be a non-zero integer.
But here, the denominator is not an integer but an irrational number.
So, 2 5   is an irrational number.
Hence, the given statement is false.
So, the correct option is 2.
 
Watch 3-min video & get full concept clarity

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon