Finite Math Examples

$\sqrt{\frac{2 (34) (26656)}{8}}$

Step 1

Reduce the expression $\frac{2 (34) (26656)}{8}$ by cancelling the common factors.

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Step 1.1

Factor $2$ out of $2 (34) (26656)$ .

$\sqrt{\frac{2 ((34) \cdot (26656))}{8}}$

Step 1.2

Factor $2$ out of $8$ .

$\sqrt{\frac{2 ((34) \cdot (26656))}{2 \cdot 4}}$

Step 1.3

Cancel the common factor.

$\sqrt{\frac{2 ((34) \cdot (26656))}{2 \cdot 4}}$

Step 1.4

Rewrite the expression.

$\sqrt{\frac{(34) \cdot (26656)}{4}}$

Step 2

Cancel the common factor of $34$ and $4$ .

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Step 2.1

Factor $2$ out of $(34) \cdot (26656)$ .

$\sqrt{\frac{2 ((17) \cdot 26656)}{4}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $4$ .

$\sqrt{\frac{2 ((17) \cdot 26656)}{2 (2)}}$

Step 2.2.2

Cancel the common factor.

$\sqrt{\frac{2 ((17) \cdot 26656)}{2 \cdot 2}}$

Step 2.2.3

Rewrite the expression.

$\sqrt{\frac{(17) \cdot 26656}{2}}$

Step 3

Cancel the common factor of $26656$ and $2$ .

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Step 3.1

Factor $2$ out of $(17) \cdot 26656$ .

$\sqrt{\frac{2 (17 \cdot 13328)}{2}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $2$ .

$\sqrt{\frac{2 (17 \cdot 13328)}{2 (1)}}$

Step 3.2.2

Cancel the common factor.

$\sqrt{\frac{2 (17 \cdot 13328)}{2 \cdot 1}}$

Step 3.2.3

Rewrite the expression.

$\sqrt{\frac{17 \cdot 13328}{1}}$

Step 3.2.4

Divide $17 \cdot 13328$ by $1$ .

$\sqrt{17 \cdot 13328}$

Step 4

Write the expression using exponents.

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Step 4.1

Multiply $17$ by $13328$ .

$\sqrt{226576}$

Step 4.2

Rewrite $226576$ as $476^{2}$ .

$\sqrt{476^{2}}$

Step 4.3

Pull terms out from under the radical, assuming positive real numbers.

$476$