Math, asked by medhani9020, 1 year ago

Prove that the product of three consecutive integers is never a perfect power (i.e., a perfect square or a perfect

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Answered by Bipasha11
0
Hope it will help you
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Answered by Kushagrasingh001
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First integer-x
Second-x+1
Third-x+2

Proof:- x(x+1)(x+2) = (x²+x)(x+2)
=>x³+2x²+x²+2x
=> x³+3x²+2x.
Now , this equation can never be a perfect square of any number.
Hence, proved.

Kushagrasingh001: This can never be a square of any root.
Kushagrasingh001: I hope that this will help you , see you with another question, goodbye.
Bipasha11: Goodbye dear
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