Question:
Simplify the radical expressions

![10.\ \sqrt[3]{135}](https://tex.z-dn.net/?f=10.%5C%20%5Csqrt%5B3%5D%7B135%7D)
Answer:





![\sqrt[3]{24} = 2 \sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B24%7D%20%3D%202%20%5Csqrt%5B3%5D%7B3%7D)
![\sqrt[3]{81} =3\sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B81%7D%20%3D3%5Csqrt%5B3%5D%7B3%7D)

![\sqrt[3]{40} = 2 \sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B40%7D%20%3D%202%20%5Csqrt%5B3%5D%7B5%7D)
![\sqrt[3]{135} =3\sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B135%7D%20%3D3%5Csqrt%5B3%5D%7B5%7D)
Step-by-step explanation:
Express 63 as 9 * 7

Split:



Express 48 as 16 * 3

Split



Express 75 as 25 * 3

Split


Express 99 as 9 * 11

Split


Express 92 as 4 * 23



Express 24 as 8 * 3
![\sqrt[3]{24} = \sqrt[3]{8} * \sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B24%7D%20%3D%20%5Csqrt%5B3%5D%7B8%7D%20%2A%20%5Csqrt%5B3%5D%7B3%7D)
Express 8 as 2^3
![\sqrt[3]{24} = \sqrt[3]{2^3} * \sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B24%7D%20%3D%20%5Csqrt%5B3%5D%7B2%5E3%7D%20%2A%20%5Csqrt%5B3%5D%7B3%7D)
![\sqrt[3]{24} = 2 \sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B24%7D%20%3D%202%20%5Csqrt%5B3%5D%7B3%7D)
![7.\ \sqrt[3]{81}](https://tex.z-dn.net/?f=7.%5C%20%5Csqrt%5B3%5D%7B81%7D)
Express 81 as 27 * 3
![\sqrt[3]{81} =\sqrt[3]{27}*\sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B81%7D%20%3D%5Csqrt%5B3%5D%7B27%7D%2A%5Csqrt%5B3%5D%7B3%7D)
Express 27 as 3^3
![\sqrt[3]{81} =\sqrt[3]{3^3}*\sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B81%7D%20%3D%5Csqrt%5B3%5D%7B3%5E3%7D%2A%5Csqrt%5B3%5D%7B3%7D)
![\sqrt[3]{81} =3\sqrt[3]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B81%7D%20%3D3%5Csqrt%5B3%5D%7B3%7D)
Express 128 as 64 * 2


![9.\sqrt[3]{40}](https://tex.z-dn.net/?f=9.%5Csqrt%5B3%5D%7B40%7D)
Express 40 as 8 * 5
![\sqrt[3]{40} = \sqrt[3]{8} * \sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B40%7D%20%3D%20%5Csqrt%5B3%5D%7B8%7D%20%2A%20%5Csqrt%5B3%5D%7B5%7D)
![\sqrt[3]{40} = \sqrt[3]{2^3} * \sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B40%7D%20%3D%20%5Csqrt%5B3%5D%7B2%5E3%7D%20%2A%20%5Csqrt%5B3%5D%7B5%7D)
![\sqrt[3]{40} = 2 \sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B40%7D%20%3D%202%20%5Csqrt%5B3%5D%7B5%7D)
![10.\ \sqrt[3]{135}](https://tex.z-dn.net/?f=10.%5C%20%5Csqrt%5B3%5D%7B135%7D)
Express 135 as 27 * 5
![\sqrt[3]{135} =\sqrt[3]{27}*\sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B135%7D%20%3D%5Csqrt%5B3%5D%7B27%7D%2A%5Csqrt%5B3%5D%7B5%7D)
Express 27 as 3^3
![\sqrt[3]{135} =\sqrt[3]{27}*\sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B135%7D%20%3D%5Csqrt%5B3%5D%7B27%7D%2A%5Csqrt%5B3%5D%7B5%7D)
![\sqrt[3]{135} =3\sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B135%7D%20%3D3%5Csqrt%5B3%5D%7B5%7D)
Answer:
<u>405</u>
Step-by-step explanation:
<u>Given</u>
<u>Solving</u>
- a₂ = -3a₁ = -3(5) = -15
- a₃ = -3a₂ = -3(-15) = 45
- a₄ = -3a₃ = -3(45) = -135
- a₅ = -3a₄ = -3(-135) = <u>405</u>
Answer:
32 ft
Step-by-step explanation:
find the area of the large rectangle:
30 x 16 = 480
find the area of the small rectangle:
10 x 8 = 80
subract the small rectangle from the big rectangle to get the area of the shaded region:
480 - 80 = 400
now plug this area and the height into the equation for triangle area:
A = bh/2
400 = b(25)/2 multiply both sides by 2
2(400) = 2(25b/2)
800 = 25b divide both sides by 25
800/25 = 25b/25
32 = b
You would do 300/5 since there are 300 catfish
Then multiply the resulting number (60) by 2
The answer is 120
Answer:A cube shaped box has a volume of 27 cubic inches bethany says each side of the cube measures 9 inches because 9 x 3 = 27.
Step-by-step explanation:hope this help you ok