Subtract the radical expressions Assume that all variables r

Subtract the radical expressions. Assume that all variables represent positive real numbers. 3 Squareroot 72y^3 - Squareroot 2y 3 Squareroot 72y^3 - Squareroot 2y 17Squareroot 2y^3 - 2y Cannot be simplified further

Solution

Given that

3 (72y³) - (2y) =  3 (72y².6) - (2y)

= 3.(6(2y)).y - (2y) [ since ,72 = 62 , y² = y ]

= 18y.(2y) - (2y)

= (2y)( 18y - 1)

Therefore ,

    3 (72y³) - (2y) = ( 18y - 1 )(2y)