Product of Roots = Root of Product?
Which of the following is false?
A. 9 × 4 = 3 6
B. 9 × − 4 = − 3 6
C. − 9 × − 4 = 3 6
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1 solution
LaTeX: N O T E : − a × b = a b is valid only when at least one of a and b is ′ n o n n e g a t i v e ′ . SO ONLY C IS FALSE
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Although I have to admit that it does appear to be accurate, I am wondering where one can find this exact version of the product of square roots rule. Every version I found insists that BOTH a and b should be non-negative.
But why is it so?
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This answer would appear to be telling us that minus times minus is not allowed to be plus here, due to the root operation
My answer was NOT directed "@" anyone
Square roots of real numbers will always multiply unless both radicands are negative, so only C is false. For more, see do square roots always multiply?