Basic Math Examples

$r = \frac{\frac{\sqrt{1386 {cm}^{2}}}{22}}{7}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$r = \frac{\sqrt{1386 {cm}^{2}}}{22} \cdot \frac{1}{7}$

Step 2

Combine fractions.

$r = \frac{\sqrt{1386 {cm}^{2}}}{22 \cdot 7}$

Step 3

Simplify the numerator.

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Step 3.1

Rewrite $1386 {cm}^{2}$ as ${(3 cm)}^{2} \cdot 154$ .

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Step 3.1.1

Factor $9$ out of $1386$ .

$r = \frac{\sqrt{9 (154) {cm}^{2}}}{22 \cdot 7}$

Step 3.1.2

Rewrite $9$ as $3^{2}$ .

$r = \frac{\sqrt{3^{2} \cdot 154 {cm}^{2}}}{22 \cdot 7}$

Step 3.1.3

Move $154$ .

$r = \frac{\sqrt{3^{2} {cm}^{2} \cdot 154}}{22 \cdot 7}$

Step 3.1.4

Rewrite $3^{2} {cm}^{2}$ as ${(3 cm)}^{2}$ .

$r = \frac{\sqrt{{(3 cm)}^{2} \cdot 154}}{22 \cdot 7}$

Step 3.2

Pull terms out from under the radical.

$r = \frac{3 cm \sqrt{154}}{22 \cdot 7}$

Step 4

Multiply $22$ by $7$ .

$r = \frac{3 cm \sqrt{154}}{154}$

Step 5

Rewrite the expression.

$r = \frac{3 \sqrt{154}}{154} cm$