4√18+5√32

To simplify this expression, we can break down the numbers inside the square roots and then combine like terms.

√18 can be simplified as √(9 × 2) = 3√2.
√32 can be simplified as √(16 × 2) = 4√2.

Therefore, 4√18 + 5√32 becomes 3√2 + 4√2.

Now, we can combine like terms, which gives us 7√2 as the final answer.