Standard form of complex number is ` ` were ` ` To write the number in standard form we first need to calculate the values of trigonometric functions for the given angle.
`cos(-30^circ)=cos 30^circ=sqrt 3/2`
`sin 225^circ=-sin 45^circ=-sqrt2/2`
We will also write `sqrt48` as `4sqrt3.`
Therefore, we get
`sqrt48(cos(-30^circ)+i sin (225^circ))=`
`4sqrt3(sqrt3/2-(isqrt2)/2)=`
`2cdot3-2isqrt6=`
`6-2sqrt6i` <--Solution
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