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

Answer Link

Otras preguntas

Name the property the equation illustrates. 8 + 5.3 = 5.3 + 8 A. Inverse Property of Addition B. Associative Property of Addition C. Inverse Property of Multipl
what is the meaning of cliche
Which of these reactions can be classified as double replacement reactions? Zn + 2HCl → ZnCl2 + H2 2NaCl + F2 → 2NaF + Cl2 2AlBr3 + 3K2SO4 → 6KBr + Al2(SO4)3 2K
In a small town of 6561 people rumors spread fast
A quarter has a diameter of approximately 24 millimeters. What is the area of the quarter? Approximate Π as 3.14.
Which law of motion accounts for the following statement? "The gravity of the Sun causes the planets to move in a circular path."
Which of these reactions can be classified as double replacement reactions? Zn + 2HCl → ZnCl2 + H2 2NaCl + F2 → 2NaF + Cl2 2AlBr3 + 3K2SO4 → 6KBr + Al2(SO4)3 2K
If PQR measures 75°, what is the measure of SQR?
Which element in period 4 has the highest electronegativity
why does a physically active job does not guarantee better physical fitness.