Answer:
The answer is option C
Step-by-step explanation:
2√24 + 5√54
To combine the radicals first make sure the radicals have the same square root
That's
For 2√24
[tex]2 \sqrt{24} = 2 \sqrt{4 \times 6} = 2 \times 2 \sqrt{6} [/tex]
[tex] = 4 \sqrt{6} [/tex]
For 9√54
[tex]5 \sqrt{54} = 5 \sqrt{9 \times 6} = 5 \times \sqrt{9} \times \sqrt{6} [/tex]
[tex] = 5 \times 3 \times \sqrt{6} [/tex]
[tex] = 15 \sqrt{6} [/tex]
Since they have the same square root we can combine them
That's
[tex]4 \sqrt{6} + 15 \sqrt{6} = (4 + 15) \sqrt{6} [/tex]
We have the final answer as
[tex]19 \sqrt{6} [/tex]
Hope this helps you
