Q. 2 A4.8( 5 Votes )

# Simplify each of the following and express it in the form (a + ib) :

Given: (2 - √-3)2

We know that,

(a – b)2 = a2 + b2 – 2ab …(i)

So, on replacing a by 2 and b by √-3 in eq. (i), we get

(2)2 + (√-3)2 – 2(2)(√-3)

= 4 + (-3) – 4√-3

= 4 – 3 – 4√-3

= 1 – 4√3i2 [ i2 = -1]

= 1 – 4i√3

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