The rationalized form of the expression will be ![-1+\sqrt{2}}](https://tex.z-dn.net/?f=-1%2B%5Csqrt%7B2%7D%7D)
<h3>Rationalization of rational functions</h3>
Given the rational function
![\frac{\sqrt{12}}{\sqrt{3}-3}\\](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B12%7D%7D%7B%5Csqrt%7B3%7D-3%7D%5C%5C)
Multiplying by the conjugate of the denominator
![=\frac{\sqrt{12}}{\sqrt{3}-3}\times \frac{\sqrt{3}+3}{\sqrt{3}+3}\\=\frac{\sqrt{12}(\sqrt{3}+3)}{3-9}\\ =\frac{(\sqrt{36}+3\sqrt{12})}{3-9}\\=\frac{6+6\sqrt{2}}{-6}\\ =](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Csqrt%7B12%7D%7D%7B%5Csqrt%7B3%7D-3%7D%5Ctimes%20%5Cfrac%7B%5Csqrt%7B3%7D%2B3%7D%7B%5Csqrt%7B3%7D%2B3%7D%5C%5C%3D%5Cfrac%7B%5Csqrt%7B12%7D%28%5Csqrt%7B3%7D%2B3%29%7D%7B3-9%7D%5C%5C%20%3D%5Cfrac%7B%28%5Csqrt%7B36%7D%2B3%5Csqrt%7B12%7D%29%7D%7B3-9%7D%5C%5C%3D%5Cfrac%7B6%2B6%5Csqrt%7B2%7D%7D%7B-6%7D%5C%5C%20%3D)
Simplifying further will give:
![-1+\sqrt{2}}](https://tex.z-dn.net/?f=-1%2B%5Csqrt%7B2%7D%7D)
Hence the rationalized form of the expression will be ![-1+\sqrt{2}}](https://tex.z-dn.net/?f=-1%2B%5Csqrt%7B2%7D%7D)
Learn more on rationalization here: brainly.com/question/14261303
100*1=100
10*2=20
4*1=4
10*1=10
The answer is 124.1
Answer:
From the starting position of 10 feet above ground, the balloon is climbing 9 feet per second.
Step-by-step explanation: