
<h2>
Explanation:</h2>
Here we have the following expression:

So we need to simplify that radical expression. By property of radicals we know that:
![\sqrt[n]{a}\sqrt[n]{b}=\sqrt[n]{ab}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%5Csqrt%5Bn%5D%7Bb%7D%3D%5Csqrt%5Bn%5D%7Bab%7D)
So:

The prime factorization of 22968 is:

Hence:

By property:
![\sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)
So:

Finally:

<h2>Learn more:</h2>
Radical expressions: brainly.com/question/13452541
#LearnWithBrainly
Definition: The <u>probability</u> of an event happening is expressed as a fraction between 0 and 1.
Example: The <u>chance</u> that you roll a 4 on a die is 1
Cos θ = adjacent / hypothenus = 5/13
opposite = sqrt(hypothenus^2 - adjacent^2) = sqrt(13^2 - 5^2) = sqrt(169 - 25) = sqrt(144) = 12
sec θ = 1/cos θ = 1/(adjacent / hypothenus) = hypothenus / adjacent = 13/5
cot θ = 1/tan θ = 1/(opposite/adjacent) = adjacent / opposite = 5/12
sec θ = 13/5
cot θ = 5/12
Alright. So for:
a) 4(x+7)+3(x+5) Here we need to distribute the number outside of the parenthesis to the terms inside. So after distributing, we get 4x+28+3x+15. Then simplify this equation to 7x+43.
b) 3(2a+4b)+9(3a-2b) Same here. We distribute the number outside of the parenthesis to the terms inside. After distributing, we get 6a+12b+27a-18b. Then simplify to get 33a-6b.
c) 2(3u-5)-3(2u+1) As expected, same here. We distribute the number outside of the parenthesis. But here, we have a negative. Remember to distribute that as well. So we get 6u-10-6u-3. Then we simplify and get -13.
d) b(-5v-4)-2b(v+4) -_- Getting a bit boring... We distribute the variable from outside the parenthesis into the terms in the parenthesis. We get -5bv-4b-2bv-8b. Then simplify to get -3bv-12b.
**If you don't understand distributing, just let me know!
There was no temperature change. Simple, easy math.
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