prove that 5+2√7 irrational
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1
Answer:
that's the answer
Step-by-step explanation:
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Answered by
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Answer:-
5+2√7 is an irrational number
Step-by-step explanation:
Let us assume to the contrary, that 5+2√7 is a rational number that is a and b are integers and b is not equal to 0.
5+2√7 = a
b
2√7 = a - 5 , where a and b are co-oprime
b
√7 = a - 5b
2b
Since, a and b are integers therefore a - 5b is a rational
2b
number so √7 is also a rational number.
But we know that √7 is an irrational number.
Therefore, 5+2√7 is an irrational number
Hope it helps you....
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