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leva [86]
3 years ago
9

Which expression is equivalent to the expression below?

Mathematics
2 answers:
Nitella [24]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Given

\sqrt{-108} - \sqrt{-3}

= \sqrt{36(3)(-1)} - \sqrt{3(-1)}

= 6\sqrt{3} i - \sqrt{3} i

= 5\sqrt{3} i

STatiana [176]3 years ago
5 0

Answer:

Step-by-step explanation:

√(-108) - √(-3)

= √(-3*36) - √(-3)

= √[(-3)*36] - √(-3)

= √(-3)*(√36 - 1)

= √[(-1)*(3)]*(6-1)

= i*√(3)*(5)

= 5√3i

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