Basic Math Examples

(\sqrt{21}) (\sqrt{35})

$(\sqrt{21}) (\sqrt{35})$

Step 1

Combine using the product rule for radicals.

\sqrt{21 \cdot 35}

$\sqrt{21 \cdot 35}$

Step 2

Multiply

21

$21$ by

35

$35$ .

\sqrt{735}

$\sqrt{735}$

Step 3

Rewrite

735

$735$ as

7^{2} \cdot 15

$7^{2} \cdot 15$ .

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Step 3.1

Factor

49

$49$ out of

735

$735$ .

\sqrt{49 (15)}

$\sqrt{49 (15)}$

Step 3.2

Rewrite

49

$49$ as

7^{2}

$7^{2}$ .

\sqrt{7^{2} \cdot 15}

$\sqrt{7^{2} \cdot 15}$

\sqrt{7^{2} \cdot 15}

$\sqrt{7^{2} \cdot 15}$

Step 4

Pull terms out from under the radical.

7 \sqrt{15}

$7 \sqrt{15}$

Step 5

The result can be shown in multiple forms.

Exact Form:

7 \sqrt{15}

$7 \sqrt{15}$

Decimal Form:

27.11088342 \dots

$27.11088342 \dots$

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

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