3.14?
or do you want more digits?
3.141592653589793238462643383279502884197169399375105820974944592307816406286<span> </span>
Answer:
Before we can simplify radicals, we need to know some rules about them. These rules just follow on from what we learned in the first 2 sections in this chapter, Integral Exponents and Fractional Exponents.
Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction
Step-by-step explanation:
The diagram is of a right triangle with
Hypotenuse = 233
One leg of the triangle = 105
Another Leg = <em>we have to find</em>
<em />
<em />
Pythagorean Theorem can be written as:
Thus, we can write:
![\begin{gathered} 105^2+\text{AnotherLeg}^2=233^2 \\ \text{AnotherLeg}^2=233^2-105^2 \\ \text{AnotherLeg}^2=43264 \\ \text{AnotherLeg}=\sqrt[]{43264} \\ \text{AnotherLeg}=208\text{ ft} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20105%5E2%2B%5Ctext%7BAnotherLeg%7D%5E2%3D233%5E2%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%5E2%3D233%5E2-105%5E2%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%5E2%3D43264%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%3D%5Csqrt%5B%5D%7B43264%7D%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%3D208%5Ctext%7B%20ft%7D%20%5Cend%7Bgathered%7D)
Thus,
The distance between the traffic lights on Walnut Street is:
208 feet
