Question

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

Answer 1

Answer:

$- \sqrt{ \frac{1}{41} }$

Step-by-step explanation:

Let x be the irrational number that can be multiplied by -√41 to get a product that equals 1.

$x \times - \sqrt{41} = 1$

Solve for x, by dividing through with -√41

This gives us:

$x = \frac{1}{ - \sqrt{41} }$

This is the same as:

$x = - \frac{ \sqrt{1} }{ \sqrt{41} }$

Or

$x = - \sqrt{ \frac{1}{41} }$

Therefore the irrational number is

$- \sqrt{ \frac{1}{41} }$

Answer 2

Answer: negative root 1/41

Step-by-step explanation: