algebra help. simplify the expression

Question

√4x6/3y

the square root symbol is on the outside with the fraction inside

Answer 1

I ssume the problem is:

 

√(4x⁶/3y)

 

= √[2²(x³)²/3y]

= 2x³√(1/3y)

 

Now rationalize the denominator by multiplying by √(3y/3y):

 

= 2x³√(1/3y)·√(3y/3y)

= (2x³/3y)·√3y