Question

Hey guys, can someone tell me the answer for this question?

Answer 1

Answer:

root 24+12 is root 36 which is equal to 6

4 root of 6 is 36 the power of 2 which is equal to 36

5 the power of 2 is 25

then when we multiple 6x36x25

it's 5400

Answer 2

Answer:

Answer = 1080

Step-by-step explanation:

Hey there!

Here's the initial equation:

$\sqrt{24+12} * \sqrt{6^4 * 5^2}$

What I'll do now is sum what's in the left root.

$\sqrt{36} * \sqrt{6^4 * 5^2}$

Since $\sqrt{36}$ = 6, we get this equation:

$6 * \sqrt{6^4 * 5^2}$

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 * $5\sqrt{6^4}$

6 * 5 = 30, so here's what you got:

$30\sqrt{6^4}$

At this point you should see that:

$6^4$ = 6 * 6 * 6 * 6

6 * 6 * 6 * 6 = 36 * 6 * 6

36 * 6 * 6 = 36 * 36

36 * 36 = 36²

Now you have this:

$30\sqrt[2]{36^2}$

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