Final answer:
To solve the expression 4√2 + 5√4, simplify the square roots separately. The final answer is irrational.
Step-by-step explanation:
To solve 4√2 + 5√4, we need to simplify the square roots. The square root of 2 cannot be simplified any further, so it remains as √2. The square root of 4 is 2 because 2 x 2 = 4. Therefore, the expression becomes 4√2 + 5(2).
Simplifying further, we get 4√2 + 10. However, we cannot combine the terms because they have different radicals. So the final answer is 4√2 + 10, which is an irrational number because √2 is irrational and we cannot combine it with the rational number 10.