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```        how  i^(2) = -1
let i = (-1)^(1/2)
=(3-4)^(1/2)
= {[(3-4)^(2)]^(0.5)}^(0.5)
={[(9+16-24)^(0.5)]^(0.5)
= {[(1)^(0.5)]^(0.5)
=(1)^0.5
=1.......
then why cant we write i=1 ? then all imaginary number concept will be vanished```
5 years ago

SHAIK AASIF AHAMED
74 Points
```										Hello student,Please find the answer to your question belowThe proof which you are showing is an analytical proofThese kind of proofs can be done in mathematics to show 2=1,2=5 etc,,,which are actually not true‘i’ actually represents a rotation of 90 degrees that is why we represent a complex number as (x,y) while plotting on graphso i2means i multiplied by i which makes the rotation 180 degrees so on a graph paper you can see that this 180 degree rotation makes magnitude negative.hencei2is treated as -1.
```
3 years ago
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