The required equivalent expression to [tex]\sqrt{-50}[/tex] is 5i√2.
Given that,
An equivalent expression to [tex]\sqrt{-50}[/tex] is to be determined.
What is a complex number?
The number that constitutes real and imaginary numbers are called complex numbers.
What is simplification?
The process in mathematics to operate and interpret the function to make function simple or more understandable called simplify and the process is called simplification.
Here,
Simplifcation ⇒
= [tex]\sqrt{-50}[/tex]
[tex]=\sqrt{-5 * 5 *2}\\=5\sqrt{-2}\\=5\sqrt{-1} \sqrt{2}\\[/tex]
( Since √-1 = i )
= 5i√2
Thus, the required equivalent expression to [tex]\sqrt{-50}[/tex] is 5i√2.
Learn more about complex numbers here: https://brainly.com/question/28007020
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