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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 root of 2

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tonb
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
aachen

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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