Question

(x-1/x)^2-4(x+1/x)+8 find square Root​

Answer 1

Answer:

So square root of the given expression is ±(x−

x

1

​

−2).

Step-by-step explanation:

Now,

(x+

x

1

​

)

2

−4(x−

x

1

​

)

=(x−

x

1

​

)

2

+4−4(x−

x

1

​

) [ Since (a−b)

2

=(a+b)

2

−4ab]

=(x−

x

1

​

)

2

−2.(x−

x

1

​

).2+2

2

=(x−

x

1

​

−2)

2

So square root of the given expression is ±(x−

x

1

​

−2).