(4\sqrt(6))/(\sqrt(30)) solve by rationalizing the denominator
To rationalize the denominator of the expression (4√6)/(√30), we need to multiply the numerator and the denominator by √30.
This results in:
(4√6)/(√30) * (√30)/(√30)
= (4√6√30)/(√30√30)
= (4√(6*30))/(√900)
= (4√180)/(30)
= (4√36√5)/(30)
= (4*6√5)/(30)
= 24√5/30
= 4√5/5
Therefore, the rationalized form of the expression (4√6)/(√30) is 4√5/5.