Question

Prove that 6-2root 5 is irrational no

Answer 1

step by step solution

Answer 2

Answer:

6-2√5 is an irrational number.

Step-by-step explanation:

Question: Prove that 6-2root 5  is irrational no.

To prove: The number 6-2root 5 is an irrational number.

Concept: The concept of rational and irrational numbers.

Explanation:-

Let us assume that 6-2√5 is an irrational number.

Therefore,

6-2√5 = p/q

2√5= 6-p/q

2√5 = 6q-p/q

√5= 6q-p/2q

Now,

6q-p/2q is an rational number

But

√5 is an irrational number.

Therefore this is a contradiction.

6-2√5 is an irrational number.

Hence proved.

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