Answer:
30√5 + 7√2
Explanation:
To simplify this expression, we can first use the fact that the square root of a product is equal to the product of the square roots. We can also simplify any perfect squares under the square root sign.
5√180 + 4√18 - √50
= 5√(36 × 5) + 4√(9 × 2) - √(25 × 2)
= 5√36 × √5 + 4√9 × √2 - √25 × √2
= 5 × 6√5 + 4 × 3√2 - 5√2
= 30√5 + 12√2 - 5√2
= 30√5 + 7√2
Therefore, the simplified form of the expression is [30√5 + 7√2.]