i need a explanation for this equation:

5 radical(square root) 108 over 25

the 5 is in front of the square rooted number and it is a fraction

PlEASE HELP :(

That is not an equation. It is a number.

It sounds like you are describing the fifth root of 108, divided by 25. It is not clear if the 25 is under the radical sign or not. If it isn't, then[108^(1/5)]/25 = 0.10203..

i'm supposed to simplify it not get a number like that and the five is outside the square root of 108 over 25, and in the question the 25 is under the radical sign. for example im going to use quotation marks as the radical

5"108"/25

actually i gotta do factoring or then simplifying

I'm going to assume your problem is this: (5√108)/25

Find factors of 108 to simplify.
3 * 9 * 4 = 108
We can take the square root of 9 and the square root of 4.

We are left with: (5 * 3 * 2 * √3)/25
We can reduce to (6√3)/5

I hope this will help.

I just reread your problem again, and if it is this: 5√(108/25)
...then the outcome will be different.

This would be the same as (5√108)/(√25)
Square root of 25 is 5.

(5 * 3 * 2 * √3)/5 = 6√3

Again, I hope this will help.

I apologize for the confusion in my previous response. Let's clarify the problem and address it correctly.

The expression you provided is 5√(108/25), where the 5 is in front of the square root and the 25 is under the square root. To simplify this expression, we need to simplify the square root and divide it by 25.

First, let's simplify the square root of 108. We can find the factors of 108 and simplify any perfect squares inside the square root.

Factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

108 is divisible by 4, so we can simplify the square root of 108 as follows:
√108 = √(4 * 27) = √(2^2 * 3^3) = 2 * 3√3 = 6√3

Now, let's substitute the simplified square root into the expression: 5√(108/25) becomes 5(6√3/25).

Since the 25 is under the square root, we can simplify it as √25 = 5.

Substituting both simplified values back into the expression:
5(6√3/25) = 30√3/5

Finally, we can simplify further by reducing the fraction:
30√3/5 = 6√3

So, the simplified form of the expression 5√(108/25) is 6√3.

I apologize for the confusion earlier, and I hope this explanation clarifies the process of simplifying the expression for you. If you have any further questions, please let me know.