Solve (-sqrt{50})*(-sqrt{2})

$$( - \sqrt { 50 } ) \times ( - \sqrt { 2 } )$$

Evaluate

$$10$$

Solution Steps

Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.

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

Multiply -1 and 5 to get -5.

$$-5\sqrt{2}\left(-1\right)\sqrt{2}$$

Multiply -5 and -1 to get 5.

$$5\sqrt{2}\sqrt{2}$$

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$5\times 2$$

Multiply 5 and 2 to get 10.

$$10$$

Factor

$$2\times 5$$