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When you multiply 2 by √2, you are essentially multiplying 2 by 2^(1/2). Using the properties of exponents, when you multiply two numbers with the same base, you add the exponents. Therefore, 2 * 2^(1/2) = 2^(1) * 2^(1/2) = 2^(1 + 1/2) = 2^(3/2). Simplifying this further, 2^(3/2) is equivalent to √(2^3) = √8.

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4mo ago

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2 is the same as the square root of 4. Square root of 4 multiplied by square root of 2 is equal to the square root of 8.

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Wiki User

13y ago
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Q: Why does 2 multiplied by root 2 equal to root 8?
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