Question

Root 3x sqaure + 11x + 6 root 3 solve it?

Answer 1

Given,

√3x² + 11x + 6√3

To find,

The solution of √3x² + 11x + 6√3.

Solution,

We will get (x + 3√3) (√3x + 2) by solving √3x² + 11x + 6√3.

We can easily solve this problem by following the given steps.

We can solve it only by factorising it by splitting the middle term.

Now,

√3x² + 11x + 6√3

The middle term, 11x, is to be split into two terms such that their addition will be 11x and their multiplication will be 18x² ( √3x² × 6√3).

So, the two terms will be 9x and 2x.

√3x² + 11x + 6√3

√3x² + 9x + 2x + 6√3

√3x (x+3√3) + 2(x+ 3√3) [ Taking √3x common from the first two terms and 2 common from the last two terms.]

(x + 3√3) (√3x + 2) [ Taking (x+3√3) common]

Hence, the factors will be (x + 3√3) (√3x + 2).

Answer 2

Step-by-step explanation:

is this answer useful

this is by splitting middle term