Math, asked by yash61660, 11 months ago

Prove that 3power✓7 is irrational

Answers

Answered by saivivek16
1

Step-by-step explanation:

Let 3/√7 be a rational number

3/√7=p/q

√7=p/3q(Integer/interger)

But √7 is irrational number

Hence our contradiction was wrong

3/√7 is irrational number

Hope it will help you with

✌️sai


yash61660: Thankyou you very much you saved my 5 marks in today's exam
Answered by CUTESTAR11
2

Hey dear ‼️

Proof...

Let us take on contrary that 3 root 7 is rational. then there exist two co prime numbers a and b such that ___

3root 7 = a/b

=> root 7 = a / 7b

Now LHS is an irrational no. whereas RHs is rational

this contradiction has arised due to our wrong assumption in beginning .

Therefore 3 root 7 is an irrational number...

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