4√6*5√2

To simplify this expression, we can multiply the numbers outside the square roots first, and then multiply the numbers inside the square roots.

4√6 * 5√2
= (4 * 5)√(6 * 2)
= 20√12

Now, we can simplify the square root of 12 by finding the largest perfect square that divides evenly into 12, which is 4.

20√12
= 20√(4*3)
= 20 * 2√3
= 40√3

Therefore, the simplified form of the expression 4√6 * 5√2 is 40√3.