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Simplify 46√30√
by rationalizing the denominator. Show your work.
(2 points)
To simplify 46√30√, we first multiply the two square roots together:
46√30 *√ = 46√(30*1) = 46√30
Now, to rationalize the denominator, we need to remove the square root from the denominator by multiplying both the numerator and denominator by √30:
(46√30) / √30 = (46√30 * √30) / (√30 * √30) = 46√(30 * 30) / 30 = 46√900 / 30 = 46 * 30 / 30 = 46
Therefore, the simplified form of 46√30√ after rationalizing the denominator is 46.