Final answer:
To simplify the expression, we first need to simplify the square roots, and then combine like terms. The expression simplifies to 32√2.
Step-by-step explanation:
To simplify the expression 4√18+5√32, we first need to simplify the square roots. The square root of 18 can be simplified as √(9 × 2) = √9 × √2 = 3√2. Similarly, the square root of 32 can be simplified as √(16 × 2) = √16 × √2 = 4√2. Substituting these values back into the expression, we have 4(3√2) + 5(4√2). Combining like terms, this simplifies to 12√2 + 20√2 = 32√2.
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