by quacker on December 3rd, 2004

quacker

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If the square root of -1 is i, then what is the square root of -2?

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  • by saratchandra on June 22nd, 2005

    saratchandra

    Square root of the product of two numbers a and b is equal to the product of the square roots of the numbers provided atleast one of the numbers is a positive real number. Since -2 can be written as the product of 2 and -1 where 2 is a positive real number, the square root of -2 is the square root of 2 multiplied by the square root of -1. Hence the square root of -2 is twice the value of i.
    In reply to comment 1:I'm sorry.My last sentence is wrong.The answer is "square root of -2 is the product of square root of two and i" .

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