beatrizsolano60 beatrizsolano60

23-05-2019
Mathematics

contestada

Express the square root of -80 in its simplest terms.

A- cannot be determined
B- 8i sqrt 10
C- 4i sqrt 5
D- 2i sqrt 20

Respuesta :

jimrgrant1 jimrgrant1

23-05-2019

Answer:

C

Step-by-step explanation:

noting that [tex]\sqrt{-1}[/tex] = i

Given

[tex]\sqrt{-80}[/tex]

= [tex]\sqrt{16(-1)(5)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{-1}[/tex] × [tex]\sqrt{5}[/tex]

= 4i[tex]\sqrt{5}[/tex] → C

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