Question

(-2+√-3^-1 simply and express each of the following

Answer 1

( - 2 + √( - 3 ) )^-1

= 1 / - 2 + √3(-1)

since , we know , √ -1 = i

= 1 / -2 +√ 3i = 1 /√ 3i - 2

by rationalising denominator we get ,

1 / √3i - 2 × (√ 3i + 2 ) /( √3i + 2 )

= √3i + 2 / 3i^2 - 4

= 2 + √3i / -3 - 4

=( 2 + √3i )/ - 7

= (-2 / 7) + (-√3 / 7 ) i

= a + bi

______________________________
|| : hope it helps : ||
______________________________