Answer:
-80 is a real rational number
Step-by-step explanation:
it is real, and it is rational. It isn't irrational, and it is not a natural number either
Answer:
Number 7 is 48
I think number 5 is 49 I'm not for sure about this one.
Step-by-step explanation:
Number 7:
Since it's a 90 degree angle, you just add 19 + 23 which gives you 42. Subtract 42 from 90 and it gives you 48, the value of the variable.
Number 5:
Now I'm not for sure about this one because of the number 12 pointing to the connecting point. So, I'd rather not say how I did this one before I get you confused when you learn about this in the future.
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)
Step-by-step explanation:
= (8x² + 9) - (3x² + 2x + 5)
= 8x² + 9 - 3x² - 2x - 5
= 5x² - 2x + 4
Answer:
fourth option
Step-by-step explanation:
Common difference is given by difference of two consecutive term
d = nth term - (n-1)th term
______________________________________
for all the series lets take second term as nth term
and first term as (n-1)th term
_________________________________________
for first series
n th term = -3 1/2 = -3.5
(n-1)th term = -5
therefore
d= -3.5 -(-5) = -3.5 +5 = 1.5
______________________________________
for second series
n th term = 4 1/2 = 4.5
(n-1)th term = 2 1/2 = 2.5
therefore
d= 4.5 -(2.5) =2
_________________________
for third series
n th term = 3
(n-1)th term =1.5
therefore
d= 3 - 1.5 = 1.5
__________________________________
for fourth series
n th term = -1.5
(n-1)th term = -4
therefore
d= -1.5 -(-4) = -1.5 + 4 = 2.5 = 2 1/2
___________________________________
Thus, based on above solution option four has common difference of 2 1/2