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4 votes
Which expression is equivalent to sqrt -108- sqrt -3

2 Answers

3 votes

That can be written as a complex number:-

= -108 - √3 i

User Gsalgadotoledo
by
7.6k points
3 votes

Answer:

The answer is 5 √3 i

Explanation:

We are looking for the answer of this equation

x=√-108 - √-3

By the Radical Properties of Multiplication

x=√(36*-3) - √-3

x=(√36 √-3) - √-3

x=6√-3 - √-3

x=5√-3

x=5√(3*-1)

x=5 (√3 √-1)

We know that √-1=i

So the final answer x=5 √3 i

User Frederik Heyninck
by
8.3k points

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