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Which irrational number can be multiplied by –StartRoot 41 EndRoot to get a product that equals 1?

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Answer:

D

Step-by-step explanation:

D on Edge

We multiply [tex]-\frac{1}{\sqrt{41}}[/tex] by  -√41 to get 1.

The properly formatted question is

Which irrational number can be multiplied by -√41 to get a product that equals 1?

What is an irrational number?

An irrational number is a number that cannot be written in the form p/q where q is not 0 and p and q are integers.

How to find the multiplicative inverse of -√41?

Suppose a be the number that is multiplied by -√41 to get 1. Then

-√41 ×a=1

⇒[tex]a=-\frac{1}{\sqrt{41}}[/tex]

Hence, [tex]-\frac{1}{\sqrt{41}}[/tex] is the required irrational number.

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