Simplify square root of negative 72. negative 6 square root of 2 6 square root of negative 2 6 square root of 2 i 6 i square roo
t of 2
2 answers:
Assuming this is a multiple choice question where the layout got lost:
√-72 = i√2*36 = 6i√2
This is the last answer in the list of options
Answer:
Option D is correct, i.e. 6i√2
Step-by-step explanation:
Simplify the square root of negative 72.
We know the square root of negative numbers are called Imaginary numbers and are denoted by √(-1) = i.
Similarly the square root of negative 72 can be simplified as below:-
√(-72)
= √(-1*72)
= √(-1) * √72
= i * √72
= i * √(6*6*2)
= i * 6√2
= 6i√2
Hence, option D is correct, i.e. 6i√2
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