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Question
Factorize `x^2 + 6sqrt2x + 10`
Solution
Splitting middle term
`= x^2 + 5sqrt2x + sqrt2x + 10` [∵ `6sqrt2 =5sqrt2 + sqrt2` and `5sqrt2 xx sqrt2 = 10`]
`= x(x + 5sqrt2) + sqrt2(x + 5sqrt2)`
`= (x + 5sqrt2)(x + sqrt2)`
`∴ x^2 + 6sqrt2x + 10 = (x + 5sqrt2)(x + sqrt2)`
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