Algebra Examples

$(\sqrt{3}) (2 \sqrt{5}) - 4 \sqrt{15}$

Step 1

Multiply $(\sqrt{3}) (2 \sqrt{5})$ .

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Step 1.1

Combine using the product rule for radicals.

$2 \sqrt{3 \cdot 5} - 4 \sqrt{15}$

Step 1.2

Multiply $3$ by $5$ .

$2 \sqrt{15} - 4 \sqrt{15}$

$2 \sqrt{15} - 4 \sqrt{15}$

Step 2

Subtract $4 \sqrt{15}$ from $2 \sqrt{15}$ .

$- 2 \sqrt{15}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- 2 \sqrt{15}$

Decimal Form:

$- 7.74596669 \dots$

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