hailiemj03 hailiemj03
  • 21-08-2020
  • Mathematics
contestada

Which expression is equal to 3 V-75?
15173
15v3i
-15iV3
-1573
न
2
3
4
5

Respuesta :

jimrgrant1 jimrgrant1
  • 21-08-2020

Answer:

15i[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i

Given

3[tex]\sqrt{-75}[/tex]

= 3 × [tex]\sqrt{25(3)(-1)}[/tex]

= 3 × [tex]\sqrt{25}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{-1}[/tex]

= 3 × 5 × [tex]\sqrt{3}[/tex] × i

= 15i[tex]\sqrt{3}[/tex]

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