Factorize X^2 + 5sqrt5x + 30 - Mathematics

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Factorize `x^2 + 5sqrt5x + 30`

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Solution

Splitting the middle term,

`= x^2 + 2sqrt5x + 3sqrt5x + 30`     `[∵ 5sqrt5 = 2sqrt5 + 3sqrt5  " also " 2sqrt5 xx sqrt3 = 30]`

`= x(x + 2sqrt5) + 3sqrt5(x + 2sqrt5)`

`= (x + 2sqrt5)(x + 3sqrt5)`

`∴ x^2 + 5sqrt5x + 30 = (x + 2sqrt5)(x + 3sqrt5)`

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Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.1 [Page 9]

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RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.1 | Q 29 | Page 9

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