Question

Which expression is equal to 254−−√−424−−√ ?

Answer 1

Answer:

$-2\sqrt{6}$

Step-by-step explanation:

The correct expression is

$2\sqrt{54}-4\sqrt{24}$

we know that

$54=(2)(3^3)=(3^2)(2)(3)=(3^2)(6)$

$24=(2^3)(3)=(2^2)(2)(3)=(2^2)(6)$

substitute in the expression above

$2\sqrt{(3^2)(6)}-4\sqrt{(2^2)(6)}=2(3)\sqrt{6}-4(2)\sqrt{6}=6\sqrt{6}-8\sqrt{6}=-2\sqrt{6}$