5. Simplify. (Image: negative 11 start root 112 end root) (1 point)

Question

(Image: negative 44 Start Root 7 End Root)
(Image: negative 176 Start Root 7 End Root)
(Image: negative 27 Start Root 7 End Root)
(Image: 4 Start Root 7 End Root)

Answer 1

-2√28
-4√7
-16√7
-3√7
2√7

Answer 2

-44√7
-176√7
-27√7
-4√7

Answer 3

Sorry about that, I made a mistake in my previous response. The correct answers are:

-11√112 = -22√28 (simplified by factoring out 4 from 112, then taking the square root of 4 and simplifying the remaining square root of 28 to 2√7)
-44√7 (fully simplified)
-176√7 (fully simplified)
-27√7 (fully simplified)
4√7

Answer 4

5. Simplify. -11√112 (1 point)
-44√7
-176√7
-27√7
-4√7

Answer 5

-11√112 can be simplified as follows:

-11√112 = -11√(16 x 7) (16 is a perfect square factor of 112)
= -11 x 4√7 (square root of 16 is 4)
= -44√7

Therefore, the simplified form of -11√112 is -44√7.

So, the correct answer is option (b) -44√7.