Sorry I forgot a question.
2) rationalize the denominator.
4/sqrt6
My answer is 4sqrt6/ 6
Am I correct?
reduce it to 2√6/3
How did you get 3?
I divided top and bottom by 2
To rationalize the denominator, you need to eliminate any square roots from the denominator. In this case, the denominator is sqrt(6). To rationalize it, you need to multiply both the numerator and the denominator by the conjugate of sqrt(6), which is -sqrt(6).
Let's go through the steps:
1) Start with the fraction: 4/sqrt(6).
2) Multiply both numerator and denominator by the conjugate of sqrt(6), which is -sqrt(6). This will result in the following:
(4/sqrt(6)) * (-sqrt(6)/-sqrt(6))
= (-4sqrt(6)) / (sqrt(6) * -sqrt(6))
= (-4sqrt(6)) / (-6)
So, the simplified form after rationalizing the denominator is -4sqrt(6)/-6.
To check whether your answer of 4sqrt(6)/6 is correct, you can simplify it further:
4sqrt(6)/6 = 2sqrt(6)/3
Comparing the simplified answer -4sqrt(6)/-6 and 2sqrt(6)/3, we can see that they are equivalent. Therefore, your answer of 4sqrt(6)/6 is also correct. Good job!