: 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 workNote.

Answer 1

To simplify 46√30√ and rationalize the denominator, we can first rewrite the radical as the product of the square root of the number inside the radical and another square root:

46√30 = 46 * √30 * √1

Next, we can simplify by multiplying the numbers outside the radical:

46 * √30 * √1 = 46 * √30

Then, we can simplify the number inside the radical:

√30 = √(6 * 5)
√30 = √6 * √5
√30 = √6√5

Now, we can substitute the simplified form of the radical back into the expression:

46 * √6√5 = 46√6√5

Therefore, the simplified form of 46√30 is 46√6√5.