Can someone please help me answer this question, and please help me how you arrived to your correct answer? thank you!

Mathematics

1 answer:

galben [10]4 years ago

3 0

$\sqrt{ - 180 {x}^{16} } \\ = \sqrt{( - 1) \times \: 2 \times 2 \times 3 \times 3 \times 5 \times {x}^{8} \times {x}^{8} } \\ = (2 \times 3 \times {x}^{8} ) \sqrt{( - 1) \times 5 } \\ = 6 {x}^{8} \times \sqrt{ - 1} \times \sqrt{5} \\ = 6 {x}^{8} i \: \sqrt{5}$

so answer is option 4

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