Basic Math Examples

$t (1.16) = \frac{\sqrt{12}}{2}$

Step 1

Simplify.

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Step 1.1

Simplify the numerator.

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Step 1.1.1

Rewrite $12$ as $2^{2} \cdot 3$ .

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Step 1.1.1.1

Factor $4$ out of $12$ .

$t (1.16) = \frac{\sqrt{4 (3)}}{2}$

Step 1.1.1.2

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

$t (1.16) = \frac{\sqrt{2^{2} \cdot 3}}{2}$

Step 1.1.2

Pull terms out from under the radical.

$t (1.16) = \frac{2 \sqrt{3}}{2}$

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Cancel the common factor.

$t (1.16) = \frac{2 \sqrt{3}}{2}$

Step 1.2.2

Divide $\sqrt{3}$ by $1$ .

$t (1.16) = \sqrt{3}$

Step 2

Divide each term in $t (1.16) = \sqrt{3}$ by $1.16$ and simplify.

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Step 2.1

Divide each term in $t (1.16) = \sqrt{3}$ by $1.16$ .

$\frac{t (1.16)}{1.16} = \frac{\sqrt{3}}{1.16}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $1.16$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{t \cdot 1.16}{1.16} = \frac{\sqrt{3}}{1.16}$

Step 2.2.1.2

Divide $t$ by $1$ .

$t = \frac{\sqrt{3}}{1.16}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Evaluate the root.

$t = \frac{1.7320508}{1.16}$

Step 2.3.2

Divide $1.7320508$ by $1.16$ .

$t = 1.49314724$