Precalculus Examples

$3 | 4 - \sqrt{5} |$

Step 1

$4 - \sqrt{5}$ is approximately $1.76393202$ which is positive so remove the absolute value

$3 (4 - \sqrt{5})$

Step 2

Apply the distributive property.

$3 \cdot 4 + 3 (- \sqrt{5})$

Step 3

Multiply.

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Step 3.1

Multiply $3$ by $4$ .

$12 + 3 (- \sqrt{5})$

Step 3.2

Multiply $- 1$ by $3$ .

$12 - 3 \sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$12 - 3 \sqrt{5}$

Decimal Form:

$5.29179606 \dots$