Answer:
(a) √8
Step-by-step explanation:
You want to know the radical equivalent to 2^(3/2).
<h3>Indices</h3>
The relationship of indices to radicals is ...
![\large{\sqrt[n]{a^m}}={a^{\frac{m}{n}}](https://tex.z-dn.net/?f=%5Clarge%7B%5Csqrt%5Bn%5D%7Ba%5Em%7D%7D%3D%7Ba%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D)
<h3>Application</h3>
The given expression can be rewritten as ...
![2^{\frac{3}{2}}=\sqrt[2]{2^3}=\boxed{\sqrt[2]{8}}](https://tex.z-dn.net/?f=2%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%3D%5Csqrt%5B2%5D%7B2%5E3%7D%3D%5Cboxed%7B%5Csqrt%5B2%5D%7B8%7D%7D)
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<em>Additional comment</em>
When the index of the radical is 2, it is usually left off. The radical can be simplified by removing the perfect square factor.
![\sqrt[2]{8}=\sqrt{8}=2\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B8%7D%3D%5Csqrt%7B8%7D%3D2%5Csqrt%7B2%7D)
Its a right angle triangle, so use trigonometry.
Since the adjacent and hypotenuse is given use cos .
Answer:
D. 54
Step-by-step explanation:
54 + 54 = 108, and 72 + 180 equals 180 degrees.
This is due to the fact all angles in a triangle add up to 180 degrees.
Answer:
Chelsea can make 3
batches of icing with 7/8 pounds of butter.
Step-by-step explanation:
7/8 ÷ 1/4 (reciprocate 1/4 to replace division sign with multiplication sign)
= 7/8 x 4/1
= 28/8
= 7/2
= 3 
This means that Chelsea can make 3
batches of icing with 7/8 pounds of butter.
I hope this helps :)