Math, asked by somadawn58, 9 months ago

Prove that 1/root 11 is an irrational number

Answers

Answered by YOGESHmalik025
4

◆. Let's 1/√11 be a rational no.

so, 1/11 = a/b

11 = b/a

here , b/a is a rational no..

so , 11 should be a rational no..

a , contradict has arisen. that the 11 is an irrational no.

our assumption is wrong

so, 1/11 is an international no.

Answered by anuj92967
1

Answer:

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 \frac{1}{ \sqrt{11} }  =  \frac{a}{b}  \\ b =   \sqrt{11a}  \\ so \: b \: is \: rational \: and \:  \sqrt{11} is \: not

So we can say that above no is irrational .......

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