rosetoheart2
rosetoheart2 rosetoheart2
  • 07-11-2018
  • Mathematics
contestada

Help with these radical/square root questions

Help with these radicalsquare root questions class=

Respuesta :

Rinkhals
Rinkhals Rinkhals
  • 07-11-2018

We know that i² = -1

[tex]\heartsuit[/tex]  [tex]\sqrt{-28} = \sqrt{i^2\times7\times2^2} = 2i\sqrt{7}[/tex]

[tex]\heartsuit[/tex]  [tex]\sqrt{-63} = \sqrt{i^2\times7\times3^2} = 3i\sqrt{7}[/tex]

[tex]Given\;that\;\sqrt{-28}\;is\;subtracted\;from\;\sqrt{-63}[/tex]

[tex]\implies \sqrt{-63} - \sqrt{-28} = 3i\sqrt{7} - 2i\sqrt{7} = i\sqrt{7}[/tex]

Option (2) is the Answer

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