Question

simplify, using ( i ) notation as needed.
( -sqrt{50} )
( -sqrt{50} = square )
(simplify your answer. type an exact answer, using radicals and ( i ) as needed.)

Explanation:

Step1: Factor 50 into perfect square

$50 = 25 \times 2$

Step2: Split radical into product

$-\sqrt{25 \times 2} = -\sqrt{25} \times \sqrt{2}$

Step3: Simplify $\sqrt{25}$

$\sqrt{25} = 5$, so $-5 \times \sqrt{2}$

Answer:

$-5\sqrt{2}$