which expression is equivalent to sqrt -108 - sqrt -3

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26-04-2018
Mathematics

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which expression is equivalent to sqrt -108 - sqrt -3

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MrGumby MrGumby · Answer 1 · 2018-04-26T15:47:36+02:00

MrGumby MrGumby

26-04-2018

5i[tex] \sqrt{3} [/tex]

You can get this by simplifying both. The square root of -108 is 6i[tex] \sqrt{3} [/tex] and the square root of -3 is i[tex] \sqrt{3} [/tex]. Subtract for the answer.

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Robinson555 Robinson555 · Answer 2 · 2018-04-26T16:02:05+02:00

Robinson555 Robinson555

26-04-2018

√-108 = 6√3i
where i = √-1
√-3 = √3 i
thus = 6√3i-√3i = 5√3i = √-75

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