Question

factorize:x^2+5√5x+30

Answer 1

$\text{Hello user !!}$

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x^2 + 5√5 x + 30 = 0

x^2 + 3√5x + 2√5x + 30 = 0

x ( 2x + 3 √5 ) + 2√5 ( 2x + 3√5 ) = 0

x + 2√5 = 0 , 2 x + 3 √5 = 0

x = - 2√5 , x = - 3√5/2

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Answer 2

$\textbf {Your answer :- }$

$factorize = > {x}^{2} + 5 \sqrt{5} x + 30 \\ \\ = > {x}^{2} + 3 \sqrt{5} x + 2 \sqrt{5} x + 30 \\ \\ = > x \: (x + 3 \sqrt{5} ) + 2 \sqrt{5} \: (x + 3 \sqrt{5} ) \\ \\ = > (x + 3 \sqrt{5} ) \: (x + 2 \sqrt{5})$

$\textbf {Thanks!!}$