Math, asked by cinta123456789, 1 year ago

prove that 2root3 is irrational.....

Answers

Answered by PrashiJain
4
we know that

 \sqrt{3} \: is \: a \: irrational \: number \:

Let us assume that

2 \sqrt{3 } \: is \: a \: rational \: number

p/q = 2 root 3

 on \: rearranging \: the \:equation

we get root 3 = p/2q

p q and 2 are integers so p / 2q is a rational number

so root3 is also a rational number but it contradict the fact that root 3 is an irrational number

this contradiction has arisen due to our wrong assumption .
so we conclude that 2 root 3 is a irrational


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Answered by Anonymous
6

similarly you can do the answer just exchange the digits

it would surely be correct

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