Solve x^25root3x 12

Evaluate

x^{2} \times 5 3 x \times 12

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

x^{2} \times 5 3 x \times 12 = 0

Find the domain

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x^{2} \times 5 3 x \times 12 = 0, x \geq 0

Calculate

x^{2} \times 5 3 x \times 12 = 0

Multiply the terms

x^{2} \times 5 36 x = 0

Simplify the root

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x^{2} \times 5 \times 6 x = 0

Multiply

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30 x^{2} x = 0

Elimination the left coefficient

x^{2} x = 0

Separate the equation into 2 possible cases

x^{2} = 0 x = 0

The only way a power can be 0 is when the base equals 0

x = 0 x = 0

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

x = 0 x = 0

Find the union

x = 0

Check if the solution is in the defined range

x = 0, x \geq 0

Solution

x = 0

Simplify the expression