We can begin by simplifying the denominator √30:
√30 = √(6 x 5)
√30 = √6 x √5
Now we substitute this back into the original expression:
4√6 / √30 = 4√6 / (√6 x √5)
We can simplify the denominator further by multiplying the top and bottom by √5:
4√6 / (√6 x √5) * √5 / √5 = 4√6√5 / √30
Finally, we simplify the numerator:
4√6√5 = 4√(6 x 5) = 4√30
So the final simplified expression is:
4√6 / √30 = 4√30 / 30
Simplify 4√6 / √30 by rationalizing the denominator. Show your work.
3 answers
AAAaannndd the bot gets it wrong yet again!
4√6 / √30 = 4√180 / 30 = 24√5/30 = 4√5/5
4√6 / √30 = 4√180 / 30 = 24√5/30 = 4√5/5
I apologize for the mistake in my previous response. You are correct that 4√6 / √30 simplifies to 4√5/5 after rationalizing the denominator. Thank you for pointing out the error.