Question

factorise
2x^2+3√3x+√2​

Answer 1

Answer:

Step-by-step explanation:

√2x² + 3x + √2

√2x² + 2x + 1x + √2

√2x (x + √2) + 1 ( x + √2)

(√2x + 1)(x+√2)

=> For factorising we use middle term splitting method here,

So,

in this we have to multiply coefficient of x² to constant term.

Here, √2 × √2 = 2

Now , we have to either by subtract or by adding we have to get 3 in middle .

2 = 2 × 1

so, by adding 2 & 1 we get 3

so, we use 2 and 1 to split the middle term.

√2 x sq + 3x +√2=0

√2x sq + 2x + x +√2=0

√2x(x+√2)+1(x+√2)=0

(√2x+1)(x+√2)=0

x=-1/√2,-√2 Ans

Hope it helps