MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
surya sai guduru Grade: 8
        

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

4 years ago

Answers : (1)

SHAIK AASIF AHAMED
askIITians Faculty
74 Points
										Hello student,
Please find the answer to your question below
The proof which you are showing is an analytical proof
These 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 graph
so 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.hence
i2is treated as -1.
2 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,000
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details