Question

prove that (2+√3)/7 is a irrational number
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Answer 1

Refer to the attachment for answer

Answer 2

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Answer:

Let us assume that 2root3-7 is rational.

Then 2 root 3 - 7 = a/b where a and b are rationals

arranging the equation we get root 3 = (ab + 7 ) * 1/2

Now since rhs = rational so root 3 should be rational. 

But this contradicts the fact in reality that root 3 is irrational . So our assumption is wrong and hence 2 root 3-7 is irrational.

hope it helps you dear(◍•ᴗ•◍)❤

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