Final answer:
The expression 2√18 × √2 simplifies to 6√2 and further multiplies to become 12. Therefore, the correct answer is 12, which demonstrates the process of simplifying square roots and basic multiplication of radicals.
Step-by-step explanation:
To calculate the expression 2√18 × √2, we start by simplifying the square roots and multiplying the terms together:
- Simplify √18 to its prime factors: 18 = 2 × 9 = 2 × (3²).
- Since the square root of a square number is the number itself, √18 becomes √(2³²) which simplifies to 3√2.
- Multiply the simplified √18 by 2 to get 2(3√2) = 6√2.
- Finally, multiply 6√2 by √2 to get 6(√2 × √2) = 6 × 2 = 12.
The final answer for the given expression 2√18 × √2 is 12.