Finite Math Examples

$\sqrt{35} (\sqrt{7 - 3})$

Step 1

Combine using the product rule for radicals.

$\sqrt{35 (7 - 3)}$

Step 2

Simplify the expression.

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Step 2.1

Subtract $3$ from $7$ .

$\sqrt{35 \cdot 4}$

Step 2.2

Multiply $35$ by $4$ .

$\sqrt{140}$

$\sqrt{140}$

Step 3

Rewrite $140$ as $2^{2} \cdot 35$ .

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Step 3.1

Factor $4$ out of $140$ .

$\sqrt{4 (35)}$

Step 3.2

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

$\sqrt{2^{2} \cdot 35}$

$\sqrt{2^{2} \cdot 35}$

Step 4

Pull terms out from under the radical.

$2 \sqrt{35}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{35}$

Decimal Form:

$11.83215956 \dots$

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