Question

1+3raised to power 1divide 2 is rational or irr

Answer 1

Answer:

(1+√3) is irrational

Explanation:

Let us assume (1+√3) is a

rational.

1+√3 = a/b [ a ,b are integers

b≠0]

=> √3 = a/b - 1

=> √3 = (a-b)/b

Since , a,b are integers , (a-b)/b

is rational .So, √3 is rational.

But this contradicts that the

fact that √3 is irrational.

Therefore,

1+√3 is an irrational.

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