Question

Question 3(Multiple Choice Worth 2 points)

(01.06 MC)
Simplify √√-72-
--6√√2
6√-2
6√√2i
061√2

Answer 1

`6i√(2)`

Explanation:

Given expression:

`√(-72)`

Rewrite -72 as the product of 6 · -1 · 2:

`\implies √(36 \cdot -1 \cdot 2)`

Apply the radical rule
`√(ab)=√(a)√(b):`

`\implies √(36) √(-1) √(2)`

Carry out the square root of 36:

`\implies 6√(-1)√(2)`

Apply the imaginary number rule
`√(-1)=i` :

`\implies 6i√(2)`