Question

show that 5+3root 13 is irrational​

Answer 1

Step-by-step explanation:

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.