prove that root 7 + 3 root 5 is an irrational number
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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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