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.