this is wierd to write but ill do my best.

12 4 square root 2 (the 4 is on top of the radical if that helps) - 7 4 square root 312 (again the 4 is on top of the radical)

if this is confusing ill try to break it down more.

thank you

first, it is not a square root sign, it is a fourth root sign

12Fourthroot2-7sqrt312
12fourthroot2-7fourthroot(3*13*2*2*2)
I don't see how it can be simplified more

so it would pretty much stay the same?

Sure, let's break down the expression step by step.

The expression you provided is:

12√2 - 7√312

To simplify this expression, we need to simplify the radicals.

Let's start with the second term, √312.

To simplify it, we need to find the largest perfect square that can be factored out from 312. The largest perfect square that can be factored out from 312 is 144 (12^2).

Therefore, we can rewrite √312 as √(144 * 2).

Using the product property of square roots, we can split the radical into two separate radicals:

√(144 * 2) = √144 * √2

Since the square root of 144 is 12, we have:

√144 * √2 = 12√2.

Now, we can rewrite the expression as:

12√2 - 7(12√2).

Now we can simplify further by combining like terms:

12√2 - 84√2

Both terms have the same radical (√2), so we can combine the coefficients:

(12 - 84)√2

12 - 84 equals -72, so the final expression is:

-72√2.

Therefore, the simplified expression is -72√2.

I hope this explanation helps! Let me know if you have any further questions.