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OpenStudy (soplaytk):
To prove that 35√35 is irrational, assume the product is rational and set it equal to abab , where b is not equal to 0. Isolating the radical gives 5√=a3b5=a3b . The right side of the equation is . Because the left side of the equation is , this is a contradiction. Therefore, the assumption is wrong, and the opposite of the assumption must be true.
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