Answer:
Answer = 1080
Step-by-step explanation:
Hey there!
Here's the initial equation:
[tex]\sqrt{24+12} * \sqrt{6^4 * 5^2}[/tex]
What I'll do now is sum what's in the left root.
[tex]\sqrt{36} * \sqrt{6^4 * 5^2}[/tex]
Since [tex]\sqrt{36}[/tex] = 6, we get this equation:
[tex]6 * \sqrt{6^4 * 5^2}[/tex]
Now: You can see that the five is elevated to the second. Since it is a square root, you can just pop it out:
6 * [tex]5\sqrt{6^4}[/tex]
6 * 5 = 30, so here's what you got:
[tex]30\sqrt{6^4}[/tex]
At this point you should see that:
[tex]6^4[/tex] = 6 * 6 * 6 * 6
6 * 6 * 6 * 6 = 36 * 6 * 6
36 * 6 * 6 = 36 * 36
36 * 36 = 36²
Now you have this:
[tex]30\sqrt[2]{36^2}[/tex]
Since it is a square root and a square number, you can do just as with the five: Pop it out! (When you take numbers out of the root they multiply, they do not add. Never forget that ;).
30 * 36 = 1080
Answer = 1080
