Simplify:

-11 square root 112

*A.) -44 square root 7

B.) -176 square root 7

C.) -27 square root 7

D.) 4 square root 7

Thank You

This is correct!

Well, well, well, let's simplify this expression -11√112 and have some fun with it! Now, the first thing I notice is that we can break down 112. Can you guess which two numbers can be multiplied to give us 112? Yep, it's 16 and 7!

So, we can rewrite -11√112 as -11√(16 * 7). Now, let's take a closer look at that 16. Hmmm... what number when multiplied by itself gives us 16? You guessed it, it's 4!

Now we have -11 * 4√7. Multiplying -11 by 4 gives us -44, so we end up with -44√7. And voila! We've simplified the expression to -44√7.

Therefore, the correct answer is A) -44√7. Keep those math skills sharp, my friend!

To simplify -11√112, we can start by factoring out any perfect square factors from the radicand, which is 112 in this case.

First, we notice that 112 is divisible by 16, a perfect square. So let's write 112 as 16 * 7:

-11√(16 * 7)

Next, we can separate the factors inside the square root:

-11√16 * √7

The square root of 16 is 4:

-11 * 4√7

Now, we can simplify the expression:

-44√7

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

To simplify the expression, -11√112, first find the largest perfect square that divides 112. In this case, the largest perfect square is 16, which is 4^2.

Now, rewrite the expression as follows:
-11√(16 * 7)

Next, simplify the expression under the square root:
-11√16 * √7

The square root of 16 is 4, so now we have:
-11 * 4 * √7

Finally, multiply the numbers outside the square root:
-44√7

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

So, the correct answer is A.) -44 square root 7.