Question

# Is the difference of a rational number and an irrational number **always irrational ?**

Hint:

### Use the property of rational and irrational numbers

**The correct answer is: Use the property of rational and irrational numbers**

**Complete step by step solution:**

Difference of a rational number and an irrational number is always an irrational number.

For example,

Let a=2 and b=

which is an irrational number since it is not of the form , where p and q are integers

Difference of a rational number and an irrational number is always an irrational number.

For example,

Let a=2 and b=

which is an irrational number since it is not of the form , where p and q are integers

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