Question:
$\sqrt{2i}$ is equal to
$\sqrt{2i}$ is equal to
Updated On: Jul 2, 2022
- $1+i$
- $1-i$
- $-\sqrt{2i}$
- None of these
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The Correct Option is A
Solution and Explanation
$\sqrt{2i}=\sqrt{1+i^{2}+2i}$
$=\sqrt{\left(1+i\right)^{2}}$
$=1+i$
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Concepts Used:
Complex Numbers and Quadratic Equations
Complex Number: Any number that is formed as a+ib is called a complex number. For example: 9+3i,7+8i are complex numbers. Here i = -1. With this we can say that i² = 1. So, for every equation which does not have a real solution we can use i = -1.
Quadratic equation: A polynomial that has two roots or is of the degree 2 is called a quadratic equation. The general form of a quadratic equation is y=ax²+bx+c. Here a≠0, b and c are the real numbers.
