Finite Math Examples

$\sqrt{3} (7 - 5 \sqrt{5})$

Step 1

Apply the distributive property.

$\sqrt{3} \cdot 7 + \sqrt{3} (- 5 \sqrt{5})$

Step 2

Move $7$ to the left of $\sqrt{3}$ .

$7 \cdot \sqrt{3} + \sqrt{3} (- 5 \sqrt{5})$

Step 3

Multiply $\sqrt{3} (- 5 \sqrt{5})$ .

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Step 3.1

Combine using the product rule for radicals.

$7 \cdot \sqrt{3} - 5 \sqrt{3 \cdot 5}$

Step 3.2

Multiply $3$ by $5$ .

$7 \cdot \sqrt{3} - 5 \sqrt{15}$

$7 \sqrt{3} - 5 \sqrt{15}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$7 \sqrt{3} - 5 \sqrt{15}$

Decimal Form:

$- 7.24056107 \dots$

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