Question

Can we show that 0.01001000100001...... Is an irrational number using contradiction method?​

Answer 1

Any number which cannot be expressed in the form of a simple fraction is termed as an irrational number. The number cannot be expressed as p/q where p and q are integers and q ≠ 0 are known as irrational numbers. If we try to express an irrational number in decimal form then it is neither terminating nor recurring. Examples √ 2, √ 3 the value of ∏=3.14159265358979…

So the given number 0.01001000100001…… is neither terminating nor recurring. Hence it is an irrational number

NOTE: It need not be proven by contradiction method

Answer 2

Solution

• The number cannot be expressed as $\frac{p}{q}$where p and q are integers
• q ≠ 0 are known as irrational numbers. ...

If we try to express an irrational number in decimal form then it is neither terminating nor recurring.

Hope it helps you...✌️✌️