sqrt(1+(-1/(sqrt(1-x))+1/(sqrt(1-x^2*1/4)))^2) если x=1/3 (упростите выражение)

$$sqrt{left(frac{1}{sqrt{- frac{x^{2}}{4} + 1}} – frac{1}{sqrt{- x + 1}}right)^{2} + 1}$$

$$sqrt{left(frac{1}{sqrt{- frac{x^{2}}{4} + 1}} – frac{1}{sqrt{- x + 1}}right)^{2} + 1}$$

sqrt(1 + (-1/sqrt(1 – (1/3)) + 1/(sqrt(1 – (1/3)^2/4)))^2)

$$sqrt{left(frac{1}{sqrt{- frac{(1/3)^{2}}{4} + 1}} – frac{1}{sqrt{- (1/3) + 1}}right)^{2} + 1}$$

sqrt(1 + (-1/sqrt(1 – 1/3) + 1/(sqrt(1 – (1/3)^2/4)))^2)

$$sqrt{left(- frac{1}{sqrt{- frac{1}{3} + 1}} + frac{1}{sqrt{- frac{1}{36} + 1}}right)^{2} + 1}$$

sqrt(1 + (-sqrt(6)/2 + 6*sqrt(35)/35)^2)

$$sqrt{left(- frac{sqrt{6}}{2} + frac{6 sqrt{35}}{35}right)^{2} + 1}$$

(1.0 + ((1.0 – 0.25*x^2)^(-0.5) – (1.0 – x)^(-0.5))^2)^0.5

$$sqrt{left(frac{2}{sqrt{- x^{2} + 4}} – frac{1}{sqrt{- x + 1}}right)^{2} + 1}$$

$$sqrt{frac{1}{left(- x + 1right) left(- x^{2} + 4right)} left(left(- x + 1right) left(- x^{2} + 4right) + left(2 sqrt{- x + 1} – sqrt{- x^{2} + 4}right)^{2}right)}$$

___________________________________________________
/ 2
/ / ________
/ | / 2 _______| / 2
/ – / 4 – x + 2*/ 1 – x / + (1 – x)*4 – x /
/ ————————————————-
/ / 2
/ (1 – x)*4 – x /

$$sqrt{frac{1}{left(- x + 1right) left(- x^{2} + 4right)} left(left(- x + 1right) left(- x^{2} + 4right) + left(2 sqrt{- x + 1} – sqrt{- x^{2} + 4}right)^{2}right)}$$

______________________________________________
/ 1 1 2
/ 1 + —– + —— – ———————–
/ 1 – x 2 ________
/ x / 2
/ 1 – — _______ / x
/ 4 / 1 – x * / 1 – —
/ / 4

$$sqrt{1 + frac{1}{- frac{x^{2}}{4} + 1} + frac{1}{- x + 1} – frac{2}{sqrt{- x + 1} sqrt{- frac{x^{2}}{4} + 1}}}$$

________________________________________________
/ ________
/ 3 2 _______ / 2
/ 12 + x – 8*x – 2*x – 4*/ 1 – x */ 4 – x
/ ———————————————-
/ 3 2
/ 4 + x – x – 4*x

$$sqrt{frac{1}{x^{3} – x^{2} – 4 x + 4} left(x^{3} – 2 x^{2} – 8 x – 4 sqrt{- x + 1} sqrt{- x^{2} + 4} + 12right)}$$