Question

ection 1.3 (complex numbers) question 1, 1.3.23 hw score: 0%, 0 of 10 points points: 0 of 1 write the number as a product of a real number and ( i ). ( sqrt{-11} ) ( sqrt{-11} = square ) (simplify your answer. type your answer in the form ( a + bi ). type an exact answer, using radicals as needed.)

Explanation:

Step1: Separate negative from radical

$\sqrt{-11} = \sqrt{11 \times (-1)}$

Step2: Apply radical product rule

$\sqrt{11 \times (-1)} = \sqrt{11} \times \sqrt{-1}$

Step3: Substitute $\sqrt{-1}=i$

$\sqrt{11} \times i = 0 + \sqrt{11}i$

Answer:

$0+\sqrt{11}i$ (or $\sqrt{11}i$)