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How do you simplify $\frac{\sqrt{1 + x}}{\sqrt{1 - x}}$ $sqrt(1+x)/ sqrt(1-x)$ ?

1 Answer

Mar 12, 2018

$\frac{\sqrt{1 + x}}{\sqrt{1 - x}} = \frac{\sqrt{1 - x^{2}}}{1 - x}$ $sqrt(1+x)/sqrt(1-x)=sqrt(1-x^2)/(1-x)$

Explanation:

$\frac{\sqrt{1 + x}}{\sqrt{1 - x}}$ $sqrt(1+x)/(sqrt(1-x)$

$XXX \frac{\sqrt{1 + x}}{\sqrt{1 - x}} \times \frac{\sqrt{1 - x}}{\sqrt{1 - x}}$ $color(white)("XXX")sqrt(1+x)/sqrt(1-x) xx sqrt(1-x)/sqrt(1-x)$

$XXX = \frac{\sqrt{1 - x^{2}}}{1 - x}$ $color(white)("XXX")=sqrt(1-x^2)/(1-x)$

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