Question

Which expression is equivalent to 3 square root of 2y^3. 7 square root of 18y , if y > 0?

Answer 1

Simplify the expression:

`3√(2y^3)\cdot7√(18y)`

Operate the coefficients and join the square roots:

`3\cdot7√(2y^3\cdot18y)=21√(2y^3\cdot18y)`

Operate the radicand:

`21√(36y^4)=21√(6^2(y^2)^2)`

The radicand now is a perfect square. Taking the square root:

`21\cdot(6y^2)=126y^2`
`\boxed{126y^2}`