Question

$x+1/\sqrt(1-x^2)$ please simplify this

Answer 1

$\frac{x + 1}{ \sqrt[]{1 - x {}^{2} } }$

Rationalising the denominator by multiplying both numerator and denominator by √1–x²

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

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

$\frac{ \sqrt{1 - x {}^{2} } }{1 - x}$