Question

prove that 7+3 root 5 is irrational number​

Answer 1

Step-by-step explanation:

Letus assume the contrary 7+3root 5 is rational no.

So we find coprime integer a and b where b is not equal to 0

7+3√5= a/b

3√5=a/b-7

√5=a-7b/3b

√5is irrational no.

But this contradicts the fact that √5is irrational

Our assumptions is wrong

Therefore 7+3√5is irrational

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