Basic Math Examples

16^{2} + 30^{2} = c^{2}

$16^{2} + 30^{2} = c^{2}$

Step 1

Rewrite the equation as

c^{2} = 16^{2} + 30^{2}

$c^{2} = 16^{2} + 30^{2}$ .

c^{2} = 16^{2} + 30^{2}

$c^{2} = 16^{2} + 30^{2}$

Step 2

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

c = \pm \sqrt{16^{2} + 30^{2}}

$c = \pm \sqrt{16^{2} + 30^{2}}$

Step 3

Simplify

\pm \sqrt{16^{2} + 30^{2}}

$\pm \sqrt{16^{2} + 30^{2}}$ .

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Step 3.1

Raise

16

$16$ to the power of

2

$2$ .

c = \pm \sqrt{256 + 30^{2}}

$c = \pm \sqrt{256 + 30^{2}}$

Step 3.2

Raise

30

$30$ to the power of

2

$2$ .

c = \pm \sqrt{256 + 900}

$c = \pm \sqrt{256 + 900}$

Step 3.3

Add

256

$256$ and

900

$900$ .

c = \pm \sqrt{1156}

$c = \pm \sqrt{1156}$

Step 3.4

Rewrite

1156

$1156$ as

34^{2}

$34^{2}$ .

c = \pm \sqrt{34^{2}}

$c = \pm \sqrt{34^{2}}$

Step 3.5

Pull terms out from under the radical, assuming positive real numbers.

c = \pm 34

$c = \pm 34$

c = \pm 34

$c = \pm 34$

Step 4

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

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Step 4.1

First, use the positive value of the

\pm

$\pm$ to find the first solution.

c = 34

$c = 34$

Step 4.2

Next, use the negative value of the

\pm

$\pm$ to find the second solution.

c = - 34

$c = - 34$

Step 4.3

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

c = 34, - 34

$c = 34, - 34$

c = 34, - 34

$c = 34, - 34$