Simplify -11 sqrt 112.
-44 sqrt 7********
-176 sqrt 7
-27 sqrt 7
4 sqrt 7
Is this right? and I need to show my work, idk the steps
correct
thanks, do u know steps or somethin?
11\sqrt{112}=\sqrt{7}:44
11\sqrt{112}
1. {Break number to its primes 112=2^4*7
2. {Apply radical rule}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}
=\sqrt{7}\sqrt{2^4}
3. Refine
thank u ;)
No Problem Carl:-)
And sorry it looks like that I had to copy and paste lol
-11*sqrt(112) = -11*sqrt(16*7) = -11*4*sqrt(7) = -44*sqrt(7).
its ok haley, and appreciate it henry
To simplify -11√112, follow these steps:
Step 1: Prime Factorization of 112
Prime factorization is expressing a number as a product of its prime factors. To find the prime factorization of 112, divide it by the smallest prime number, 2, several times until the quotient is no longer divisible by 2.
112 ÷ 2 = 56
56 ÷ 2 = 28
28 ÷ 2 = 14
14 ÷ 2 = 7
Now, you have the prime factorization of 112 as 2^4 * 7.
Step 2: Simplify the Square Root
To simplify the square root, look for pairs of identical prime factors inside the square root. You can take one factor out of the square root for each pair.
Inside the square root of 112, you have one pair of 2s (2^2) left and one 7. Taking them out of the square root, you get:
√112 = √(2^2 * 7)
Now, the square root can be simplified further.
Step 3: Apply Exponent Rule
Using the exponent rule, you can simplify:
√(2^2 * 7) = 2√7
Step 4: Multiply by Coefficient
Lastly, don't forget to multiply the simplified square root by the coefficient (-11):
-11 * 2√7 = -22√7
Therefore, the simplified form of -11√112 is -22√7.
None of the answer options you provided are correct. The correct answer is -22√7.