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Refer to attachment for question

Refer to attachment for question-example-1
User RickDavis
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1 Answer

6 votes

Answer:

Below!

Explanation:

Let the irrational number be known as "x".


\implies -√(41) * x = 1

Divide both sides by -√41.


\implies ((-√(41) * x))/(-√(41) ) = (1)/(√(-41) )


\implies x = (1)/(-√(41) )

Take the "-" to the numerator:


\implies x = (-1)/(√(41) )

Use parenthesis to isolate the "-"


\implies x = -\huge\text{(}(1)/(√(41) ) \huge\text{)}

Note: 1 can also be written as √1. (√1 = √1 × √1 = 1)


\implies {x = -\huge\text{(}(√(1))/(√(41) )\huge\text{)}}

Combine the roots in the equation:


\implies {x = -\huge\text{(}\sqrt{(1)/(41) }} \huge\text{)}}

Remove the parenthesis:


\implies {x = -\sqrt{(1)/(41) }}

Thus, Option C is correct.

User Danation
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