- #1
ranjitnepal
- 6
- 0
please tell me the solution i did is right or wrong and why?
we know,
I=√-1
I2=√-1*√-1 =√(-1)2 = √1 = 1
we know,
I=√-1
I2=√-1*√-1 =√(-1)2 = √1 = 1
lurflurf said:Wron, you cannot move the exponent inside the radical. That you arrived at -1=1 is a sign of a mistake.
ranjitnepal said:please tell me the solution i did is right or wrong and why?
we know,
I=√-1
I2=√-1*√-1 =√(-1)2 = √1 = 1
micromass said:"Paradoxes" of these kind indicate that something very interesting is going on with complex exponents. In particular, they indicate that complex exponents (such as roots) are multivalued.
Well, there are your first two errors! To begin with, it is "i", not "I"!ranjitnepal said:please tell me the solution i did is right or wrong and why?
we know,
I=√-1
With the "ordered pairs" definition, above, [tex]i^2= (0, 1)(0, 1)= (0(0)-(1)(1), 0(1)+ 0(1))= (-1, 0)[tex] which we have already identified with the real number -1.I2=√-1*√-1 =√(-1)2 = √1 = 1
Verifying I2=1 is important because it confirms the accuracy of mathematical calculations and ensures the validity of experimental results. It also allows for the detection of errors or discrepancies that may have occurred during the research process.
The process for verifying I2=1 involves using mathematical principles and calculations to determine if the equation is true. This may include solving the equation using algebraic techniques or using known mathematical identities and properties.
Units are an essential component of scientific measurements and calculations. Verifying I2=1 with incorrect units can lead to incorrect results and conclusions. Therefore, it is crucial to ensure that the units are consistent and accurately represented in the equation.
Common sources of error when verifying I2=1 include human error, equipment limitations, and measurement uncertainties. It is essential to identify and account for these sources of error to ensure the accuracy and reliability of the verification process.
Verifying I2=1 is a critical step in the scientific research process, as it ensures the accuracy and validity of the experimental results. By confirming the equation's accuracy, researchers can have more confidence in their findings and conclusions, thus increasing the overall reliability of the study.