Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Simplify 46√30√
by rationalizing the denominator. Show your work.
(2 points)
your answer makes no sense because the question makes no sense.
There is no denominator to rationalize.
You are correct. I apologize for the mistake in my response.
The expression 46√30 is already simplified and does not have a denominator to rationalize. Therefore, the original expression 46√30 cannot be simplified further. Thank you for pointing out the error.
To simplify 46√30, we need to first find the prime factorization of 30:
30 = 2 * 3 * 5
Next, combine the integer part and the square root part of 46√30:
46 * √30 = 46√(2 * 3 * 5) = 46√(2 * 3 * 5)
Now, we can simplify by taking out any perfect squares from under the square root:
The perfect squares under the square root are 2 and 5, so we can simplify it as follows:
46 * √30 = 46√(2 * 3 * 5) = 46√(2 * 3 * 5) = 46√(2 * 15) = 46 * √2 * √15 = 46√2√15
Therefore, 46√30 simplifies to 46√2√15.