Solve xsqrt[4]{x-x}+3xsqrt[2]{x-x}

$$x \sqrt[ 4 ] { x - x } + 3 x \sqrt[ 2 ] { x - x }$$

Evaluate

$$0$$

Solution Steps

Combine x and -x to get 0.

$$x\sqrt[4]{0}+3x\sqrt[2]{x-x}$$

Calculate \sqrt[4]{0} and get 0.

$$x\times 0+3x\sqrt[2]{x-x}$$

Anything times zero gives zero.

$$0+3x\sqrt[2]{x-x}$$

Combine x and -x to get 0.

$$0+3x\sqrt[2]{0}$$

Calculate \sqrt[2]{0} and get 0.

$$0+3x\times 0$$

Multiply 3 and 0 to get 0.

$$0+0x$$

Anything times zero gives zero.

$$0+0$$

Add 0 and 0 to get 0.

$$0$$

Factor

$$0$$

Solution Steps

Factor out x\sqrt[4]{x-x}.

$$x\sqrt[4]{x-x}\left(1+3\sqrt[4]{x-x}\right)$$