Question

what is the simplified form of the following expression 7(3sqrt 2x) - 3(3sqrt 16x) - 3(3sqrt 8x)

Answer 1

Answer:   $\bold{3\sqrt{2x}-36\sqrt x}$

Step-by-step explanation:

$7(3\sqrt{2x})-3(3\sqrt{16x})-3(3\sqrt{8x})\\\\=21\sqrt{2x}-9\sqrt{16x}-9\sqrt{8x}\\\\=21\sqrt{2x}-9\cdot 4\sqrt x-9\cdot 2\sqrt{2x}\\\\=21\sqrt{2x}-36\sqrt x-18\sqrt{2x}\\\\=(21-18)\sqrt{2x}-36\sqrt x\\\\=3\sqrt{2x}-36\sqrt x$