evaluate

i37+1/i67

i37+1/i67

=i4*9+1+i-67

=1+i+i4*-17+i

1+i-1+1

=i+i

=2i

  • -6

i didnt understand please make it clear

  • 2

=i37 + 1/i67

=i36+1 + 1/i64+3

=(i4)9 . i + 1/ (i4)16+ i3

=1.i + 1/ 1-i (as i2 = -1)

=i+1/-i

=(-(i2)+1 )/-i ( take Lcm )

=(1+1)/-i

=2/-i

rationalize

=(2/-i )*-i/-i

=(2i / -(i2)

=-2i/1

= -2i

=(0-2i)

  • -3

=i37+ 1/i67

=i36+1+ 1/i64+3

=(i4)9. i + 1/ (i4)16+ i3

=1.i + 1/ 1-i (as i2= -1)

=i+1/-i

=(-(i2)+1 )/-i ( take Lcm )

=(1+1)/-i

=2/-i

rationalize

=(2/-i )*-i/-i

=(2i / -(i2)

=-2i/1

=-2i

=(0-2i)

  • -10
i37+1/i67
=(i2)18.i + 1/(i2)33.i
=1.i + 1/-1.i                               (Since i2=-1)
=i -1/i
=(i- 1)/i
=(-1-1)/i
=-2/i
Now, multiplying by i/i,
-2/i . i\i 
=-2i/i2
=-2i/-1
=2i
  • 11
That 9th sum...prove that and tell me the answer

  • -4
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