Question

how to factorize this
2x^2+3✓5x+5

Answer 1

Given, 2x2 + 3√5x + 5

= 2x2 + (2√5 + √5)x + √5*√5

= 2x2 + 2√5x + √5x + √5*√5

= 2x(x + √5) + √5(x + √5)

= (x + √5)*(2x + √5)

So, 2x2 + 3√5x + 5 = (x + √5)*(2x + √5)

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