Question

Prove that 5+7√3 is an irrational number

Answer 1

Answer:

let it be rational no so it is in the form of p/q

Step-by-step explanation:

5+7√3=p/q

7√3=p/q-5

√3=1/7(p/q-5)

since LHS is irrational and RHS is rational so our contradiction is wrong hence 5+7√3 is irrational

Answer 2

Answer:

Let it be rational no so it is in the form of p/q

Step-by-step explanation:

5+7√3=p/q

7√3=p/q-5

√3=1/7(p/q-5)

Since L H S is irrational and R H S is rational so our contradiction is wrong hence 5+7√3 is irrational.

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