Answer:
1. 3sqrt(2)
Choice C
2. 2sqrt(3)
Choice D
Step-by-step explanation:
1. sqrt(x+3)
sqrt(15+3)
sqrt(18)
sqrt(9*2)
sqrt(9)sqrt(2)
3sqrt(2)
Choice C
2. 6/sqrt(x)
6/sqrt(3)
no radicals in the denominator, multiply by 1 in the form of the radical
6/sqrt(3) * sqrt(3)/sqrt(3)
6sqrt(3)/ (sqrt(3)*sqrt(3))
6sqrt(3)/3
2sqrt(3)
Choice D
Answer:
11/12 can't be simplified.
Step-by-step explanation:
Divide 1.325 by 0.304 to answer this question.
This comes out to 4.4. China has 4.4 times as many people as does the US.
we have
![\sqrt[4]{768x^{8}y^{5}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B768x%5E%7B8%7Dy%5E%7B5%7D%7D)
we know that
![\sqrt[4]{768x^{8}y^{5}}=({768x^{8}y^{5})^{\frac{1}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B768x%5E%7B8%7Dy%5E%7B5%7D%7D%3D%28%7B768x%5E%7B8%7Dy%5E%7B5%7D%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D)
![({2^{8}3x^{8}y^{5})^{\frac{1}{4}}=2^{2} x^{2}y (3y)^{\frac{1}{4}}=4x^{2}y\sqrt[4]{3y}](https://tex.z-dn.net/?f=%28%7B2%5E%7B8%7D3x%5E%7B8%7Dy%5E%7B5%7D%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D2%5E%7B2%7D%20x%5E%7B2%7Dy%20%283y%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D4x%5E%7B2%7Dy%5Csqrt%5B4%5D%7B3y%7D)
therefore
<u>the answer is the option C</u>
![4x^{2}y\sqrt[4]{3y}](https://tex.z-dn.net/?f=4x%5E%7B2%7Dy%5Csqrt%5B4%5D%7B3y%7D)
