Basic Math Examples

$\frac{57.6 - 60}{\frac{11.4}{\sqrt{24}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$(57.6 - 60) \frac{\sqrt{24}}{11.4}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $24$ as $2^{2} \cdot 6$ .

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Step 2.1.1

Factor $4$ out of $24$ .

$(57.6 - 60) \frac{\sqrt{4 (6)}}{11.4}$

Step 2.1.2

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

$(57.6 - 60) \frac{\sqrt{2^{2} \cdot 6}}{11.4}$

$(57.6 - 60) \frac{\sqrt{2^{2} \cdot 6}}{11.4}$

Step 2.2

Pull terms out from under the radical.

$(57.6 - 60) \frac{2 \sqrt{6}}{11.4}$

$(57.6 - 60) \frac{2 \sqrt{6}}{11.4}$

Step 3

Subtract $60$ from $57.6$ .

$- 2.4 \frac{2 \sqrt{6}}{11.4}$

Step 4

Evaluate the root.

$- 2.4 \frac{2 \cdot 2.44948974}{11.4}$

Step 5

Multiply $2$ by $2.44948974$ .

$- 2.4 (\frac{4.89897948}{11.4})$

Step 6

Divide $4.89897948$ by $11.4$ .

$- 2.4 \cdot 0.42973504$

Step 7

Multiply $- 2.4$ by $0.42973504$ .

$- 1.0313641$

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