Calculus Examples

$4 \sqrt{t^{5}}$

Step 1

Rewrite $t^{5}$ as ${(t^{2})}^{2} t$ .

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Step 1.1

Factor out $t^{4}$ .

$4 \sqrt{t^{4} t}$

Step 1.2

Rewrite $t^{4}$ as ${(t^{2})}^{2}$ .

$4 \sqrt{{(t^{2})}^{2} t}$

$4 \sqrt{{(t^{2})}^{2} t}$

Step 2

Pull terms out from under the radical.

$4 t^{2} \sqrt{t}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$