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To multiply (5√ 19) (6√ 2), we can simply multiply the coefficients (5 and 6) and multiply the square roots (√ 19 and √ 2) separately.
5 * 6 = 30
√ 19 * √ 2 = √ (19 * 2) = √ 38
So, the exact answer is 30√ 38.