The sum is zero so neither positive or negative
Answer:
![\frac{4\sqrt{6x}}{2x}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Csqrt%7B6x%7D%7D%7B2x%7D)
Explanation:
The problem we are given is
![4\sqrt{\frac{3}{2x}}](https://tex.z-dn.net/?f=4%5Csqrt%7B%5Cfrac%7B3%7D%7B2x%7D%7D)
We can write the square root of a fraction as a fraction with a separate radical for the numerator and denominator; this gives us
![4\times \frac{\sqrt{3}}{\sqrt{2x}}](https://tex.z-dn.net/?f=4%5Ctimes%20%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B2x%7D%7D)
We can write the whole number 4 as the fraction 4/1; this gives us
![\frac{4}{1}\times \frac{\sqrt{3}}{\sqrt{2x}}\\\\=\frac{4\sqrt{3}}{\sqrt{2x}}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B1%7D%5Ctimes%20%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B2x%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B4%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B2x%7D%7D)
We now need to "rationalize the denominator." This means we need to cancel the square root in the denominator. In order to do this, we multiply both numerator and denominator by √(2x); this is because squaring a square root will cancel it:
![\frac{4\sqrt{3}}{\sqrt{2x}}\times \frac{\sqrt{2x}}{\sqrt{2x}}\\\\=\frac{4\sqrt{3}\times \sqrt{2x}}{2x}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B2x%7D%7D%5Ctimes%20%5Cfrac%7B%5Csqrt%7B2x%7D%7D%7B%5Csqrt%7B2x%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B4%5Csqrt%7B3%7D%5Ctimes%20%5Csqrt%7B2x%7D%7D%7B2x%7D)
When multiplying radicals, we can extend the radical over both factors:
![\frac{4\sqrt{3} \times \sqrt{2x}}{2x}\\\\=\frac{4\sqrt{3\times 2x}}{2x}\\\\=\frac{4\sqrt{6x}}{2x}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Csqrt%7B3%7D%20%5Ctimes%20%5Csqrt%7B2x%7D%7D%7B2x%7D%5C%5C%5C%5C%3D%5Cfrac%7B4%5Csqrt%7B3%5Ctimes%202x%7D%7D%7B2x%7D%5C%5C%5C%5C%3D%5Cfrac%7B4%5Csqrt%7B6x%7D%7D%7B2x%7D)
Answer:
= 4n
Step-by-step explanation:
Note that the values on the second row are 4 times the corresponding values on the first row , that is
1 × 4 = 4
5 × 4 = 20
10 × 4 = 40
12 × 4 = 48
15 × 4 = 60
25 × 4 = 100
Then
n × 4 = 4n ← nth term rule
Answer:
Yes you are right on both.
Step-by-step explanation:
Plz make brainliest
Answer:
Rachel just started a new job that pays 7 dollars per hour. She only worked 3 hours and decided she wanted to go to the mall to buy some clothes. How much money does Rachel have to spend?
Step-by-step explanation: