Question

assignment overview 2
simplifying radicals with negative radicands
score: 3/5 penalty: 0.25 off
question
write $sqrt{-147}$ in simplest radical form.
answer attempt 1 out of 2

Explanation:

Step1: Separate negative from radicand

$\sqrt{-147} = \sqrt{-1 \times 147}$

Step2: Apply imaginary unit definition

$\sqrt{-1 \times 147} = i\sqrt{147}$

Step3: Factor 147 into perfect square

$\sqrt{147} = \sqrt{49 \times 3}$

Step4: Simplify the radical

$i\sqrt{49 \times 3} = i\sqrt{49}\sqrt{3} = 7i\sqrt{3}$

Answer:

$7i\sqrt{3}$