Question

$2 {x}^{2} + 3 \sqrt{5} x + 5$

Answer 1

Used method is middle term splitting:-

i ) We have to multiply the coefficient of x² by the constant term.

Here :- 2 × 5 = 10

ii ) LCM of 10 :- 1 × 2 × 5

iii ) Now either by subtracting or by adding we have to get 3√5

So, by adding 2√5 and √5 we get 3√5.

[ For solution refer to the attachment ]