Algebra Examples

$\sqrt{3} (- \sqrt{10} + 5)$

Step 1

Apply the distributive property.

$\sqrt{3} (- \sqrt{10}) + \sqrt{3} \cdot 5$

Step 2

Multiply $\sqrt{3} (- \sqrt{10})$ .

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Step 2.1

Combine using the product rule for radicals.

$- \sqrt{3 \cdot 10} + \sqrt{3} \cdot 5$

Step 2.2

Multiply $3$ by $10$ .

$- \sqrt{30} + \sqrt{3} \cdot 5$

$- \sqrt{30} + \sqrt{3} \cdot 5$

Step 3

Move $5$ to the left of $\sqrt{3}$ .

$- \sqrt{30} + 5 \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \sqrt{30} + 5 \sqrt{3}$

Decimal Form:

$3.18302846 \dots$

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