Question

Factorise the following​

Answer 1

Answer:

$i) \sqrt{3} (x - 2\sqrt{3})(x - \sqrt{3}) \\ii) (5x + 3\sqrt{2}) (x -\sqrt{2}) \\iii) (x - 5\sqrt{5})(3x - \sqrt{5})$

Step-by-step explanation:

$\sqrt{3}x^{2} - 9x + 6\sqrt{3} \\\sqrt{3} x^{2} - 3x - 6x +6 \sqrt{3}\\\sqrt{3}x (x -\sqrt{3}) - 6 (x - \sqrt{3} )\\(x -\sqrt{3}) (\sqrt{3}x - 6)\\\sqrt{3} (x - 2\sqrt{3}) (x - \sqrt{3} )$

$5x^{2} - 2\sqrt{2}x - 6 \\5x^{2} - 5\sqrt{2}x + 3\sqrt{2}x - 6 \\5x (x - \sqrt{2}) + 3\sqrt{2}(x - \sqrt{2})\\(5x + 3\sqrt{2}) (x - \sqrt{2})$

$3x^{2} - 16\sqrt{5}x +25 \\3x^{2} - 15\sqrt{5}x - 1\sqrt{5}x + 25 \\3x (x - 5\sqrt{5}) - \sqrt{5} (x - 5\sqrt{5})\\(x - 5\sqrt{5}) (3x - \sqrt{5})$

hope it helps!