Question

factorise x2+5√2x+12​

Answer 1

Answer:

x²+3√2x+2√2x+12

x(x+3√2)+2√2(x+3√2)

(x+3√2)(x+2√2)

Answer 2

Given,

$x ^{2} + 5 \sqrt{2} x + 12$

To find,

The factors of the given expression.

Solution,

The factors of (x²+5√2x+12) will be (x+3√2) (x+2√2).

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

According to the question,

We have the expression:

(x²+5√2x+12)

Now, we will factorise it by splitting the middle term such that their sum is 5√2x and multiplication is (12×x²).

These two terms will be 3√2x and 2√2x.

x²+3√2x+2√2x+12

Taking x common from the first two terms,

x(x+3√2)+2√2(x+3√2)

Taking (x+3√2) common,

(x+3√2) (x+2√2)

Hence, the factors of (x²+ 5√2x+12) are (x+3√2) (x+2√2).