Basic Math Examples

92^{2} + 92^{2} = c^{2}

$92^{2} + 92^{2} = c^{2}$

Step 1

Rewrite the equation as

c^{2} = 92^{2} + 92^{2}

$c^{2} = 92^{2} + 92^{2}$ .

c^{2} = 92^{2} + 92^{2}

$c^{2} = 92^{2} + 92^{2}$

Step 2

Add

92^{2}

$92^{2}$ and

92^{2}

$92^{2}$ .

c^{2} = 2 \cdot 92^{2}

$c^{2} = 2 \cdot 92^{2}$

Step 3

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

c = \pm \sqrt{2 \cdot 92^{2}}

$c = \pm \sqrt{2 \cdot 92^{2}}$

Step 4

Simplify

\pm \sqrt{2 \cdot 92^{2}}

$\pm \sqrt{2 \cdot 92^{2}}$ .

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Step 4.1

Raise

92

$92$ to the power of

2

$2$ .

c = \pm \sqrt{2 \cdot 8464}

$c = \pm \sqrt{2 \cdot 8464}$

Step 4.2

Multiply

2

$2$ by

8464

$8464$ .

c = \pm \sqrt{16928}

$c = \pm \sqrt{16928}$

Step 4.3

Rewrite

16928

$16928$ as

92^{2} \cdot 2

$92^{2} \cdot 2$ .

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Step 4.3.1

Factor

8464

$8464$ out of

16928

$16928$ .

c = \pm \sqrt{8464 (2)}

$c = \pm \sqrt{8464 (2)}$

Step 4.3.2

Rewrite

8464

$8464$ as

92^{2}

$92^{2}$ .

c = \pm \sqrt{92^{2} \cdot 2}

$c = \pm \sqrt{92^{2} \cdot 2}$

c = \pm \sqrt{92^{2} \cdot 2}

$c = \pm \sqrt{92^{2} \cdot 2}$

Step 4.4

Pull terms out from under the radical.

c = \pm 92 \sqrt{2}

$c = \pm 92 \sqrt{2}$

c = \pm 92 \sqrt{2}

$c = \pm 92 \sqrt{2}$

Step 5

The complete solution is the result of both the positive and negative portions of the solution.

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Step 5.1

First, use the positive value of the

\pm

$\pm$ to find the first solution.

c = 92 \sqrt{2}

$c = 92 \sqrt{2}$

Step 5.2

Next, use the negative value of the

\pm

$\pm$ to find the second solution.

c = - 92 \sqrt{2}

$c = - 92 \sqrt{2}$

Step 5.3

The complete solution is the result of both the positive and negative portions of the solution.

c = 92 \sqrt{2}, - 92 \sqrt{2}

$c = 92 \sqrt{2}, - 92 \sqrt{2}$

c = 92 \sqrt{2}, - 92 \sqrt{2}

$c = 92 \sqrt{2}, - 92 \sqrt{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

c = 92 \sqrt{2}, - 92 \sqrt{2}

$c = 92 \sqrt{2}, - 92 \sqrt{2}$

Decimal Form:

c = 130.10764773 \dots, - 130.10764773 \dots

$c = 130.10764773 \dots, - 130.10764773 \dots$