# Math

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Here is the question: Is the product of two irrational numbers always an irrational number? Justify your answer.
My answer is: No. The square root of two is an irrational number. If you multiply the square root of two by the square root of two, you get two which is a rational number. Sqrt. 2 * Sqrt 2= Sqrt.4= 2 Sqrt 2 * Sqrt 18 = Sqrt 36= 6 Is this correct? Thanks.

• Math -

yes.

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