Question

prove that root 3 is irrationally ​

Answer 1

LET US TAKE √3 AS RATIONAL

SO,√3=P/Q

a/b,WHERE A AND B ARE COMPOSITE NUMBERS

NOW,

a/b=√3

so,a=b√3

squaring both sides

a×a=b×b×3

so ,3 divides a×a

=3 also divides a

let a=c×3

then,(3c)=b×b×3

9c=b×b×3

3c=b×b

so, 3 divides b×b

also 3 divides b

But it is not possible as a and b are COMPOSITE NUMBERS

So our assumption is incorrect

i.e√3is irrational

mark as brailiest if it helps

Answer 2

hope this helps you.. :)