Question

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


`\sqrt[2]{24 + 12} \: * \sqrt{ {6}^(4) } * {5}^(2)`
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Answer 1

Answer = 1080

Explanation:

Hey there!

Here's the initial equation:

`√(24+12) * √(6^4 * 5^2)`

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

`√(36) * √(6^4 * 5^2)`

Since
`√(36)` = 6, we get this equation:

`6 * √(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√(6^4)`

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

`30√(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

Answer 2

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