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Simplify 46√30√ by rationalizing the denominator. Show your work.
To simplify 46√30, we can first break down the number 30 into its prime factors:
30 = 2 * 3 * 5
Now we can rewrite 46√30 as:
46√(2 * 3 * 5) = 46√(2) * √(3) * √(5)
Since √(2) cannot be simplified further, we can simplify the expression as follows:
46√2√(3)√(5) = 46√2√(15)
Therefore, the simplified expression is 46√2√15.