Question

${x}^{2} + 5 \sqrt{5 }x + 30 \\ \\ factorise \: it \: step \: by \: step$
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Answer 1

Answer:

x = - 3root5  or  - 2root5

Step-by-step explanation:

x^2  +  5root5x  +  30

x^2 + 2root5x + 3root5x + 30

x (x + 2root5) + 3root5 (x + 2root5)

(x + 2root5) (x + 3root5)

Answer 2

Answer:

(x + 6√5)(x - √5)

Solution:

Here,

The given quadratic polynomial is ;

x² + 5√5x - 30 .

We need to factorize the given quadratic polynomial .

Thus,

Here we go ↓

=> x² + 5√5x - 30

=> x² + 6√5x - √5x - 30

=> x(x + 6√5) - √5(x + 6√5)

=> (x + 6√5)(x - √5)

Hence,

Required answer is ;

(x + 6√5)(x - √5)