Factorize X^2 + 6sqrt2x + 10 - Mathematics

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Factorize `x^2 + 6sqrt2x + 10`

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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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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 26 | Page 9

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