Question

If


`(x)/(y) = - 2`
solve this:

`\sqrt{ \frac{ {x}^(2) }{ {y}^(2) } + \frac{ {y}^(2) }{ {x}^(2) } }`
​

Answer 1

x/y = -2

Then,

x = -2

y = 1

=》y/x = 1/-2 = -1/2

The remaining steps are attached. Please check.

=》 Final answer = √17/4 = 2.061 (approx.)

______

RainbowSalt2222 ☔

Answer 2

• 
  `√(17)/2`

Explanation:

Given:

• x/y = - 2

Then:

• y/x = - 1/2

Solve the expression:

• 
  `√(x^2/y^2+y^2/x^2) =`
• 
  `√((x/y)^2+(y/x)^2) =`
• 
  `√((-2)^2+(-1/2)^2) =`
• 
  `√(4+1/4) =`
• 
  `√(17/4) =`
• 
  `√(17)/2`