Evaluate c^2=a^2+b^2

$c^{2} = a^{2} + b^{2}$

Step 1

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

$c = \pm \sqrt{a^{2} + b^{2}}$

Step 2

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

First, use the positive value of the $\pm$ to find the first solution.

$c = \sqrt{a^{2} + b^{2}}$

Next, use the negative value of the $\pm$ to find the second solution.

$c = - \sqrt{a^{2} + b^{2}}$

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

$c = \sqrt{a^{2} + b^{2}}$

$c = - \sqrt{a^{2} + b^{2}}$

$c = \sqrt{a^{2} + b^{2}}$

$c = - \sqrt{a^{2} + b^{2}}$