The image is answer.................
Answer:
27
Step-by-step explanation:
(5+√2)²
you distribute the ² in the ()
so 5²+√2²
5²=25
√2²=2 because the √ and ² cancel each other out and you get 2
so now you have
25+2
which equals
27
<h3>Answer: Choice C</h3>
RootIndex 12 StartRoot 8 EndRoot Superscript x
12th root of 8^x = (12th root of 8)^x
![\sqrt[12]{8^{x}} = \left(\sqrt[12]{8}\right)^{x}](https://tex.z-dn.net/?f=%5Csqrt%5B12%5D%7B8%5E%7Bx%7D%7D%20%3D%20%5Cleft%28%5Csqrt%5B12%5D%7B8%7D%5Cright%29%5E%7Bx%7D)
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Explanation:
The general rule is
![\sqrt[n]{x} = x^{1/n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B1%2Fn%7D)
so any nth root is the same as having a fractional exponent 1/n.
Using that rule we can say the cube root of 8 is equivalent to 8^(1/3)
![\sqrt[3]{8} = 8^{1/3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8%7D%20%3D%208%5E%7B1%2F3%7D)
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Raising this to the power of (1/4)x will have us multiply the exponents of 1/3 and (1/4)x like so
(1/3)*(1/4)x = (1/12)x
In other words,
![\left(8^{1/3}\right)^{(1/4)x} = 8^{(1/3)*(1/4)x}](https://tex.z-dn.net/?f=%5Cleft%288%5E%7B1%2F3%7D%5Cright%29%5E%7B%281%2F4%29x%7D%20%3D%208%5E%7B%281%2F3%29%2A%281%2F4%29x%7D)
![\left(8^{1/3}\right)^{(1/4)x} = 8^{(1/12)x}](https://tex.z-dn.net/?f=%5Cleft%288%5E%7B1%2F3%7D%5Cright%29%5E%7B%281%2F4%29x%7D%20%3D%208%5E%7B%281%2F12%29x%7D)
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From here, we rewrite the fractional exponent 1/12 as a 12th root. which leads us to this
![8^{(1/12)x} = \sqrt[12]{8^{x}}](https://tex.z-dn.net/?f=8%5E%7B%281%2F12%29x%7D%20%3D%20%5Csqrt%5B12%5D%7B8%5E%7Bx%7D%7D%20)
![8^{(1/12)x} = \left(\sqrt[12]{8}\right)^{x}](https://tex.z-dn.net/?f=8%5E%7B%281%2F12%29x%7D%20%3D%20%5Cleft%28%5Csqrt%5B12%5D%7B8%7D%5Cright%29%5E%7Bx%7D%20)
First round the numbers to the nearest hundred.
339 --> 300
123 --> 100
Add them together.
300 + 100 = 400
Now add the tens places.
339 --> value of second 3 = 30
123 --> value of 2 = 20
30 + 20 = 50
Now add the ones.
9 + 3 = 12
Add all of these numbers together for your final number.
400 + 50 = 450
450 + 12 = 462
339 + 123 = 462
Answer:
Step-by-step explanation:
Perform the division using synthetic division. The appropriate coefficients of the given polynomial P(x) are: 1, 0, 0, 0, 0, 1, and the appropriate divisor is -1:
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-1 / 1 0 0 0 0 1
-1 1 -1 1 -1
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1 -1 1 -1 1 0
There is no remainder. Thus, x+1 is a factor of x^5 + 1