Maths-
General
Easy
Question
Prove that 3+
is an irrational number.
Hint:
Hint:
The real numbers which cannot be expressed in the form of p/q(where p and q are integers and q ≠ 0) are known as irrational numbers. In the given question we are asked to prove if 3+ is an irrational number. To do so we use the method of contradiction.
The correct answer is: yes is an irrational number.
Let's assume that is a 3+ rational number.
¶Step 1 of 2:
¶If is rational, that means it can be written in the form of p/q, where p and q integers q ≠ 0.
¶SO, 3+ = 
¶ = -3
¶
¶Step 2 of 2:
¶Here, we see that 
is a rational number. But is an irrational number. So our assumption is wrong.
¶Final Answer:
¶As is an irrational number. So must also be an irrational number. Thus, our assumption is wrong. Hence,
¶3+ is an irrational number
¶
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