Answer:
![3-\sqrt{10}](https://tex.z-dn.net/?f=3-%5Csqrt%7B10%7D)
Step-by-step explanation:
We are given an expression and are asked to find what it equals. We can see that the two square roots are being multiplied, therefore they follow the same standard as any multiplication problem, do as followed :
![\sqrt{5} *\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D%20%2A%5Csqrt%7B2%7D)
![\sqrt{10}](https://tex.z-dn.net/?f=%5Csqrt%7B10%7D)
Since a square root and constant number are different terms, we cannot combine them together, therefore leave as is :
![3-\sqrt{10}](https://tex.z-dn.net/?f=3-%5Csqrt%7B10%7D)
<span>Northwest is 45 degrees north of west. If a car travels a distance x miles northwest, its northerly component gains x/sqrt(2) miles and its easterly component LOSES xsqrt(2)/ miles.
Resultant height is h = 4500 + 100x/sqrt(2) - 75x/sqrt(2) = [25/sqrt(2)]x + 4500
dh/dt = [25/sqrt(2)]dx/dt = [25/sqrt(2)]v </span>