For this case we must find the product of the following expression:
![\sqrt [3] {5} * \sqrt {2}](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7B5%7D%20%2A%20%5Csqrt%20%7B2%7D)
By definition of properties of powers and roots we have:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
We rewrite the expression using the lowest common index of 6, then:
![5 ^ {\frac {1} {3}} * 2 ^ {\frac {1} {2}} =](https://tex.z-dn.net/?f=5%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B3%7D%7D%20%2A%202%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B2%7D%7D%20%3D)
We rewrite the terms in an equivalent way:
![5 ^ {\frac {2} {6}} * 2 ^ {\frac {3} {6}} =](https://tex.z-dn.net/?f=5%20%5E%20%7B%5Cfrac%20%7B2%7D%20%7B6%7D%7D%20%2A%202%20%5E%20%7B%5Cfrac%20%7B3%7D%20%7B6%7D%7D%20%3D)
We rewrite the expression using the property mentioned:
![\sqrt [6] {5 ^ 2} * \sqrt [6] {2 ^ 3} =](https://tex.z-dn.net/?f=%5Csqrt%20%5B6%5D%20%7B5%20%5E%202%7D%20%2A%20%5Csqrt%20%5B6%5D%20%7B2%20%5E%203%7D%20%3D)
We combine using the product rule for radicals:
![\sqrt [n] {a} * \sqrt [n] {b} = \sqrt [n] {ab}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%7D%20%2A%20%5Csqrt%20%5Bn%5D%20%7Bb%7D%20%3D%20%5Csqrt%20%5Bn%5D%20%7Bab%7D)
So:
![\sqrt [6] {5 ^ 2 * 2 ^ 3} =\\\sqrt [6] {25 * 8} =\\\sqrt[6]{200}](https://tex.z-dn.net/?f=%5Csqrt%20%5B6%5D%20%7B5%20%5E%202%20%2A%202%20%5E%203%7D%20%3D%5C%5C%5Csqrt%20%5B6%5D%20%7B25%20%2A%208%7D%20%3D%5C%5C%5Csqrt%5B6%5D%7B200%7D)
ANswer:
Option b
Answer:
5
Step-by-step explanation:
because it is asking what minus 9 is equal to -4
Well when two angles are supplementary they equal 180.
So if angle A is 80 degrees then that would mean that angle B equals 100 degrees.
Hope This Helped :)
Answer:
x=22.5°
Step-by-step explanation:
∵it's a rhombus
∴each 2 opposite sides are parallel
∴the angel adjecent angle the angle 3x is equal to the angle 6x
∴ 3x+6x=180
8x=180
⇒x=22.5