Finite Math Examples

$d (20) = 1.5 \sqrt{20}$

Step 1

Simplify.

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Step 1.1

Rewrite $20$ as $2^{2} \cdot 5$ .

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Step 1.1.1

Factor $4$ out of $20$ .

$d (20) = 1.5 \sqrt{4 (5)}$

Step 1.1.2

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

$d (20) = 1.5 \sqrt{2^{2} \cdot 5}$

Step 1.2

Pull terms out from under the radical.

$d (20) = 1.5 (2 \sqrt{5})$

Step 1.3

Multiply $1.5 (2 \sqrt{5})$ .

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Step 1.3.1

Multiply $2$ by $1.5$ .

$d (20) = 3 \sqrt{5}$

Step 1.3.2

Multiply $3$ by $\sqrt{5}$ .

$d (20) = 6.70820393$

Step 2

Divide each term in $d (20) = 6.70820393$ by $20$ and simplify.

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Step 2.1

Divide each term in $d (20) = 6.70820393$ by $20$ .

$\frac{d (20)}{20} = \frac{6.70820393}{20}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $20$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{d \cdot 20}{20} = \frac{6.70820393}{20}$

Step 2.2.1.2

Divide $d$ by $1$ .

$d = \frac{6.70820393}{20}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $6.70820393$ by $20$ .

$d = 0.33541019$