2*sqrt(3)*sqrt(12) = 2*sqrt(3)*sqrt(4*3)
= 2*sqrt(3)*sqrt(4)*sqrt(3)
= 2*sqrt(3)*2*sqrt(3)
= 4*sqrt(3)*sqrt(3) = 4*3 = 12
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2 root 3 over 2, so square root of 3
To simplify the square root of 12: Look at numbers that can be reduced from the larger number and can be square rooted itself. 4 * 3 = 12 The square root of 4 is 2. Therefore the simplification of the square root of 12 is: 2*square root of 3
2 Square(3)
It works out as -26 times the square root of 3
To multiply 2 square root of 2 by 3 square root of 6, simplify each square root separately first: 2 square root of 2 simplifies to 2√2, and 3 square root of 6 simplifies to 3√6. Then, multiply the coefficients (2 and 3) to get 6, and multiply the square roots (√2 and √6) to get √(2x6) = √12. So, the final answer is 6√12.