Question

someone PLS factorise this.....
I will mark u as brainliest​

Answer 1

Answer:

$\large{\underline{\boxed{\sf (x + 5\sqrt{6})(x+2\sqrt {6})}}}$

Step-by-step explanation:

Given that;

$\tt x^{2} + 7 \sqrt{6} x + 60$

We can solve this question, by splitting the middle term. We need two numbers such that, their product is 60 and sum is 7√6. Such two numbers can be 5√6 and 2√6.

⇒ 5√6 + 2√6 = 7√6

⇒ 5√6 * 2√6 = 60

Now, coming to the question,

$\tt {x}^{2} + 7 \sqrt{6} x + 60 \\ \\ \implies \tt {x}^{2} + (5 \sqrt{6} + 2 \sqrt{6})x + 60 \\ \\ \implies \tt {x}^{2} + 5 \sqrt{6} x + 2 \sqrt{6} x + 60 \\ \\ \implies \tt x(x + 5 \sqrt{6} ) + 2 \sqrt{6} (x + 5 \sqrt{6} ) \\ \\ \boxed{ \therefore \: \bf (x + 5 \sqrt{6} )(x + 2 \sqrt{6} )}$

Further, if you need zeroes.

• x = - 5 √6
• x = - 2 √6