Question

${x}^{2} + 3 \sqrt{3x } - 30$
Factorise it pls !!!​

Answer 1

We have been asked to factorize this expression:-

$x^{2}+3 \sqrt{3}x-30$

Splitting the middle term:-

= $x^{2}+5 \sqrt{3}x-2 \sqrt{3}x-30$

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

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

So,  $x^{2}+ 3 \sqrt{3}x-30 = (x+5\sqrt{3})(x-2\sqrt{3})$

Hence, $x = -3\sqrt{3} \ and \ 2 \sqrt{3}$