:O
That profile pic is mine for almost everything.
My home email, my school email, EVERYTHING.
Except this
For this case we have the expression:
"the square root of 4" is represented algebraically as:
![\sqrt {4}](https://tex.z-dn.net/?f=%5Csqrt%20%7B4%7D)
Then, we can express the given statement as:
![3 \sqrt {4} -2 \sqrt {4} =](https://tex.z-dn.net/?f=3%20%5Csqrt%20%7B4%7D%20-2%20%5Csqrt%20%7B4%7D%20%3D)
They are similar terms, we can subtract:
![3 \sqrt {4} -2 \sqrt {4} = \sqrt {4} = \sqrt {2 ^ 2}](https://tex.z-dn.net/?f=3%20%5Csqrt%20%7B4%7D%20-2%20%5Csqrt%20%7B4%7D%20%3D%20%5Csqrt%20%7B4%7D%20%3D%20%5Csqrt%20%7B2%20%5E%202%7D)
By definition of power properties we have that:
![\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20n%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bn%7D%20%7Bn%7D%7D%20%3D%20a)
Then the expression is reduced to:
![\sqrt {2 ^ 2} = 2](https://tex.z-dn.net/?f=%5Csqrt%20%7B2%20%5E%202%7D%20%3D%202)
Answer:
![3 \sqrt {4} -2 \sqrt {4} = 2](https://tex.z-dn.net/?f=3%20%5Csqrt%20%7B4%7D%20-2%20%5Csqrt%20%7B4%7D%20%3D%202)
The width is11ft
hope that helps