Answer:
<h3>The answer is option C</h3>
Step-by-step explanation:
2√24 + 5√54
To combine the radicals first make sure the radicals have the same square root
That's
<h3>
<u>For 2√24</u></h3>
<h3>
![2 \sqrt{24} = 2 \sqrt{4 \times 6} = 2 \times 2 \sqrt{6}](https://tex.z-dn.net/?f=2%20%5Csqrt%7B24%7D%20%20%3D%202%20%5Csqrt%7B4%20%5Ctimes%206%7D%20%20%3D%202%20%5Ctimes%202%20%5Csqrt%7B6%7D%20)
</h3><h3>
![= 4 \sqrt{6}](https://tex.z-dn.net/?f=%20%3D%204%20%5Csqrt%7B6%7D%20)
</h3><h3 /><h3>
<u>For 9√54</u></h3>
<h3>
![5 \sqrt{54} = 5 \sqrt{9 \times 6} = 5 \times \sqrt{9} \times \sqrt{6}](https://tex.z-dn.net/?f=5%20%5Csqrt%7B54%7D%20%20%3D%205%20%5Csqrt%7B9%20%20%5Ctimes%206%7D%20%20%3D%205%20%5Ctimes%20%20%5Csqrt%7B9%7D%20%20%5Ctimes%20%20%5Csqrt%7B6%7D%20)
</h3><h3>
![= 5 \times 3 \times \sqrt{6}](https://tex.z-dn.net/?f=%20%3D%205%20%5Ctimes%203%20%5Ctimes%20%20%5Csqrt%7B6%7D%20)
</h3><h3>
![= 15 \sqrt{6}](https://tex.z-dn.net/?f=%20%3D%2015%20%5Csqrt%7B6%7D%20)
</h3><h3 />
Since they have the same square root we can combine them
That's
<h3>
![4 \sqrt{6} + 15 \sqrt{6} = (4 + 15) \sqrt{6}](https://tex.z-dn.net/?f=4%20%5Csqrt%7B6%7D%20%20%2B%2015%20%5Csqrt%7B6%7D%20%20%3D%20%284%20%2B%2015%29%20%5Csqrt%7B6%7D%20)
</h3>
We have the final answer as
<h2>
![19 \sqrt{6}](https://tex.z-dn.net/?f=19%20%5Csqrt%7B6%7D%20)
</h2>
Hope this helps you
First: solve the expressions
(a) 11-(6+3)= 11-9= 2
(b) (8-2)-3= 6-3=2
(c) 12-(5-4)=12-1=11
Next: plug them in to the choices
a. (2)+(2)=11 (this is not true so this is wrong)
b. (11)-(2)<2 (this is not true so it is wrong)
c. (2)>(11) (this is not true so this is wrong)
d. (11)>(2)+(2) (this is true so this is your answer)
your answer is D... Hope this helps :)