Solve (4x^( 1/3 ))(6x^( 1/6 ))

Evaluate

(4 x^{\frac{1}{3}}) (6 x^{\frac{1}{6}})

To find the roots of the expression,set the expression equal to 0

(4 x^{\frac{1}{3}}) (6 x^{\frac{1}{6}}) = 0

Find the domain

(4 x^{\frac{1}{3}}) (6 x^{\frac{1}{6}}) = 0, x \geq 0

Calculate

(4 x^{\frac{1}{3}}) (6 x^{\frac{1}{6}}) = 0

Multiply the terms

4 x^{\frac{1}{3}} (6 x^{\frac{1}{6}}) = 0

Multiply the terms

4 x^{\frac{1}{3}} \times 6 x^{\frac{1}{6}} = 0

Multiply the terms

More Steps

24 x^{\frac{1}{2}} = 0

Rewrite the expression

x^{\frac{1}{2}} = 0

The only way a root could be 0 is when the radicand equals 0

x = 0

Check if the solution is in the defined range

x = 0, x \geq 0

Solution

x = 0

Simplify the expression