Question

Which expression is equivalent to 4√6/3√2

Answer 1

Given


`(4√(6))/(3√(2)) = (4√(2*3))/(3√(2)) \\ \\ = (4√(2)√(3))/(3√(2)) = (4)/(3) √(3)`

Answer 2

Explanation:

The given expression is given as :

`(4√(6))/(3√(2))`

To solve the expression we rationalise the denominator as it is irrational by multiplying both numerator and denominator by
`√(2)`

`(4√(6))/(3√(2))*(√(2))/(√(2))`

On multiplying the tems inside the roots we get

`(4√(12))/(3√(4))`

As factor of 12 are
`=2*2*3`

On solving the square root we get

`(8√(3))/(6)`

As both the numbers 8 and 6 are divisible by 2 on solving we get

`(4√(3))/(3)`

is the final answer

Hope this will help