Basic Math Examples

$(\sqrt{21} + \sqrt{14} - 2 \sqrt{35}) \cdot \frac{7}{7} + \sqrt{20} - \sqrt{2}$

Step 1

Cancel the common factor of $7$ .

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Step 1.1

Cancel the common factor.

$(\sqrt{21} + \sqrt{14} - 2 \sqrt{35}) \cdot \frac{7}{7} + \sqrt{20} - \sqrt{2}$

Step 1.2

Rewrite the expression.

$(\sqrt{21} + \sqrt{14} - 2 \sqrt{35}) \cdot 1 + \sqrt{20} - \sqrt{2}$

Step 2

Multiply $\sqrt{21} + \sqrt{14} - 2 \sqrt{35}$ by $1$ .

$\sqrt{21} + \sqrt{14} - 2 \sqrt{35} + \sqrt{20} - \sqrt{2}$

Step 3

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

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Step 3.1

Factor $4$ out of $20$ .

$\sqrt{21} + \sqrt{14} - 2 \sqrt{35} + \sqrt{4 (5)} - \sqrt{2}$

Step 3.2

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

$\sqrt{21} + \sqrt{14} - 2 \sqrt{35} + \sqrt{2^{2} \cdot 5} - \sqrt{2}$

Step 4

Pull terms out from under the radical.

$\sqrt{21} + \sqrt{14} - 2 \sqrt{35} + 2 \sqrt{5} - \sqrt{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{21} + \sqrt{14} - 2 \sqrt{35} + 2 \sqrt{5} - \sqrt{2}$

Decimal Form:

$- 0.45000409 \dots$