Grade 12th passAlgebra
To find the square root of the product 998×999×1000×1001×1002
1 Answer
Vikas TU
We have 998n(n+1)(n+2)(n+3) = > 998 (n2+3n)(n2+3n+2)
let (n2+3n) = y
=> 998y(y+2)
=> 998(y^2 + 2y +1 – 1)
=> 998[(y+1)^2 -1]
=>998[(n2+3n +1)^2 – 1]
here substitute n = 999 with root whole.
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algebra
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