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vekshin1
3 years ago
12

Can u plz show work? Thanks so much! It's an easy problem.

Mathematics
1 answer:
viktelen [127]3 years ago
3 0
The answer is D.

√-6(√-4 - √3) =
<span>
√-6 = </span>√-1√6 = i√6   Express <span>√-6 in terms of i
</span>i√6(√-4 - √3)

√-4 = √-1√4 = i √4 Express <span>√-4 in terms of i
</span>i√6(i√4 - √3)

√4 = 2 simplify radicals
i√6(2i - √3)

√6(2i - √3) = 2i√6 - 3√2  Distribute √6 over 2i-√3
i(2i√6 - 3√2)

i(2i√6 - 3√2) = -3i√2-2√6 Distribute i over (2i)√6 - 3√2
-3i√2 - 2√6

factor -1 from -3i√2 - 2√6

= -(2√6 + 3i√2)  == -2√6 - 3i√2

hope that helps!


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