Question

prove that 4+√7 is an irrational number​

Answer 1

Answer:

Step-by-step explanation:

LET US ASSUME , TO THE CONTRARY THAT 4+ √7 IS RATIONAL . SO,

          4 +√7 = A/B                      

WHERE A AND B ARE COPRIME AND B≠0

               √7  =   A - 4B / B

FOR ANY INTEGER VALUE OF A AND B , A - 4B/ B IS RATIONAL .

BUT √7 IS IRRATIONAL . THIS CONTRADICTION HAS ARISEN DUE TO OUR INCORRECT ASSUMPTION THAT 4 + √7 IS RATIONAL .

THUS , 4 + √7 IS IRRATIONAL.

HOPE THIS HELPS.......

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