Finite Math Examples

$2 y \sqrt{8} + 9 \sqrt{50^{3}}$

Step 1

Rewrite $8$ as $2^{2} \cdot 2$ .

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Step 1.1

Factor $4$ out of $8$ .

$2 y \sqrt{4 (2)} + 9 \sqrt{50^{3}}$

Step 1.2

Rewrite $4$ as $2^{2}$ .

$2 y \sqrt{2^{2} \cdot 2} + 9 \sqrt{50^{3}}$

$2 y \sqrt{2^{2} \cdot 2} + 9 \sqrt{50^{3}}$

Step 2

Pull terms out from under the radical.

$2 y (2 \sqrt{2}) + 9 \sqrt{50^{3}}$

Step 3

Multiply $2$ by $2$ .

$4 y \sqrt{2} + 9 \sqrt{50^{3}}$

Step 4

Raise $50$ to the power of $3$ .

$4 y \sqrt{2} + 9 \sqrt{125000}$

Step 5

Rewrite $125000$ as $250^{2} \cdot 2$ .

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Step 5.1

Factor $62500$ out of $125000$ .

$4 y \sqrt{2} + 9 \sqrt{62500 (2)}$

Step 5.2

Rewrite $62500$ as $250^{2}$ .

$4 y \sqrt{2} + 9 \sqrt{250^{2} \cdot 2}$

$4 y \sqrt{2} + 9 \sqrt{250^{2} \cdot 2}$

Step 6

Pull terms out from under the radical.

$4 y \sqrt{2} + 9 (250 \sqrt{2})$

Step 7

Multiply $250$ by $9$ .

$4 y \sqrt{2} + 2250 \sqrt{2}$

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