1.

Find the value of [1-{1-(1-p^2)^-1}^-1]-1/2​

Answer»

ANSWER:

p

Step-by-step EXPLANATION:

[1-{1-(1 - p²)^-1}^-1]-1/2​

1 / [1-{1-(1 - p²)^-1}^-1] ^ 1/2

1 / [1-{1 - (1 / (1 - p²))}^-1] ^ 1/2

1 / [1-{1 - 1 / (1 - p²)}^-1] ^ 1/2

1 / [1-{(1 - p² - 1) / (1 - p²)}^-1] ^ 1/2

1 / [1 - {- p² / (1 - p²)}^-1] ^ 1/2

1 / [1 - (1 / {- p² / (1 - p²)})] ^ 1/2

1 / [1 - ((1 - p²) / - p² )] ^ 1/2

1 / [1 + (1 - p²) /  p² )] ^ 1/2

1 / [(p² + 1 - p²) /  p² )] ^ 1/2

1 / ( 1 / p² ) ^ 1/2

1 / 1 / p

p


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