Question

prove that √2+√3 is an irrational number hint take p by q as assumption

Answer 1

Suppose that √2+√3 is rational number. We take two co prime numbers a and b such that
√2+√3 = a/b
√2 = a-√3b/b

Since a , -√3b and b all are integers therefore it is a rational number but it contradicts the fact that √2 is irrational.

(As we know the number woth under root are not rational)

So we can say that √2+√3 is irrational number.

Hope this helps you:)

Answer 2

Heya, find the answer in the attached image.

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