Solve sqrt(9t^4 4t^2 4t 10)

Question

Simplify the expression

12 t^{3} 10 t

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t = 0

Evaluate

9 t^{4} \times 4 t^{2} \times 4 t \times 10

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

9 t^{4} \times 4 t^{2} \times 4 t \times 10 = 0

Find the domain

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9 t^{4} \times 4 t^{2} \times 4 t \times 10 = 0, t \geq 0

Calculate

9 t^{4} \times 4 t^{2} \times 4 t \times 10 = 0

Multiply

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1440 t^{7} = 0

Simplify the root

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12 t^{3} 10 t = 0

Elimination the left coefficient

t^{3} 10 t = 0

Separate the equation into 2 possible cases

t^{3} = 0 10 t = 0

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

t = 0 10 t = 0

Solve the equation

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t = 0 t = 0

Find the union

t = 0

Check if the solution is in the defined range

t = 0, t \geq 0

Solution

t = 0

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