Solve (3-sqrt{-5})(4+sqrt{-5})

$$( 3 - \sqrt { - 5 } ) ( 4 + \sqrt { - 5 } )$$

Evaluate

$$\text{Indeterminate}$$

Solution Steps

Apply the distributive property by multiplying each term of 3-\sqrt{-5} by each term of 4+\sqrt{-5}.

$$12+3\sqrt{-5}-4\sqrt{-5}-\left(\sqrt{-5}\right)^{2}$$

Combine 3\sqrt{-5} and -4\sqrt{-5} to get -\sqrt{-5}.

$$12-\sqrt{-5}-\left(\sqrt{-5}\right)^{2}$$

Calculate \sqrt{-5} to the power of 2 and get -5.

$$12-\sqrt{-5}-\left(-5\right)$$

Multiply -1 and -5 to get 5.

$$12-\sqrt{-5}+5$$

Add 12 and 5 to get 17.

$$17-\sqrt{-5}$$