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Q.

Classify $2 - 5$ as rational or irrational:

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a

Rational

b

Irrational

c

Both of these

d

None of the above

answer is B.

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Detailed Solution

Given number is

2 - 5

.
Irrational number:
The numbers which cannot be expressed in the form of

p q

where p and q are integers and q ≠0.
Here 2 is a rational number.
Here 2 is a rational number and √5 is an irrational number.
We know that the subtraction of a rational number and irrational number is always an irrational number.
Hence 2 - √5 is an irrational number.
Therefore, the correct option is 2.

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