Question

question
write \\(\sqrt{-98}\\) in simplest radical form.
answer attempt 1 out of 2

Explanation:

Step1: Separate negative from radical

$\sqrt{-98} = \sqrt{-1 \times 98}$

Step2: Split into product of radicals

$\sqrt{-1 \times 98} = \sqrt{-1} \times \sqrt{98}$

Step3: Simplify $\sqrt{98}$

$\sqrt{98} = \sqrt{49 \times 2} = \sqrt{49} \times \sqrt{2} = 7\sqrt{2}$

Step4: Substitute $\sqrt{-1}=i$

$\sqrt{-1} \times 7\sqrt{2} = 7i\sqrt{2}$

Answer:

$7i\sqrt{2}$