Answer :

**Given:** (5 + 3)

**To prove:** It is irrational.

**Explanation:**

Assume that 5 + 3√2 is rational

,

where a and b are integers.

we know that a, b, 3 and 5 are integers and they are also rational {i.e RHS is rational}

therefore √2 will be rational.

but we know that √2 is irrational.

there is a contradiction

so, 5 + 3√2 is an irrational number.

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