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Simplify 46√30√
by rationalizing the denominator. Show your work.
Answer
To rationalize the denominator of 46√30, we need to multiply by a form of 1 that will eliminate the square root from the denominator.
So, 46√30 = 46√(2*3*5) = 46√(2*15) = 46√2√15
Now, to rationalize the denominator:
46√2√15 / √ = 46√2√15 / √(√) = 46√30 / √ = 46√30 / √ = 46√30 / (√) = 46√30 / (√) = 46√30
Therefore, the simplified form of 46√30√ is 46√30.