Question

prove that 2 + root 3 is an irrational number​

Answer 1

Step-by-step explanation:

Let us assume that (2 + √3) is rational and is in its simplest form a/b, where b is not equal to 0.

Now, 2+√3 = a/b

2 = a/b – √3

2 = (a–√3) ÷ 3

HERE, 2 IS RATIONAL BUT (a –√3)/b IS IRRATIONAL

AND WE KNOW THAT NONE OF THE RATIONAL NO IS EQUAL TO AN IRRATIONAL NO.

HENCE, PROVED THAT 2+√3 IS IRRATIONAL

Answer 2

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