Basic Math Examples

15^{2} + 20^{2} = c^{2}

$15^{2} + 20^{2} = c^{2}$

Step 1

Rewrite the equation as

$c^{2} = 15^{2} + 20^{2}$ .

$c^{2} = 15^{2} + 20^{2}$

Step 2

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

$c = \pm \sqrt{15^{2} + 20^{2}}$

Step 3

Simplify

$\pm \sqrt{15^{2} + 20^{2}}$ .

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Step 3.1

Raise

$15$ to the power of

$2$ .

$c = \pm \sqrt{225 + 20^{2}}$

Step 3.2

Raise

$20$ to the power of

$2$ .

$c = \pm \sqrt{225 + 400}$

Step 3.3

Add

$225$ and

$400$ .

$c = \pm \sqrt{625}$

Step 3.4

Rewrite

$625$ as

$25^{2}$ .

$c = \pm \sqrt{25^{2}}$

Step 3.5

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

$c = \pm 25$

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

$\pm$ to find the first solution.

$c = 25$

Step 4.2

Next, use the negative value of the

$\pm$ to find the second solution.

$c = - 25$

Step 4.3

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

$c = 25, - 25$