Question:
$\sqrt{-3}\sqrt{-6}$ is equal to
$\sqrt{-3}\sqrt{-6}$ is equal to
Updated On: Jul 2, 2022
- $3\sqrt{2}$
- $-3\sqrt{2}$
- $3\sqrt{2}\,i$
- $-3\sqrt{2}\,i$
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The Correct Option is B
Solution and Explanation
$\sqrt{-3}=i\sqrt{3}$,
$\sqrt{-6}=i\sqrt{6}$
So, $\sqrt{\left(-3\right)}\sqrt{\left(-6\right)}$
$=i^{2} \,3\sqrt{2}$
$=-3\sqrt{2}$
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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.
