" 11."x^(2)-(sqrt(2)+1)x+sqrt(2)=0

x^(2)-(sqrt(3)+1)x+sqrt(3)=0 2x^(2)+x-4=0

(x-sqrt(2))^(2)-sqrt(2)(x+1)=0

Solve : x^2+(8+sqrt(11)) x+sqrt(704)=0

lim_(x rarr0)(sqrt(1-x)-sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1+x))

Show that : Lt_(x to 0)(sqrt(1+x)-sqrt(1+x^(2)))/(sqrt(1+x^(2))-sqrt(1-x))=1

underset(x to 0)"Lt" (sqrt(1-x)-sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1+x))=

Evaluate the following limits : Lim_(x to 0 ) (sqrt(1+x)-sqrt(1+x^(2)))/(sqrt(1-x^(2))-sqrt(1-x))

d/(dx)[cos^(-1)(xsqrt(x)-sqrt((1-x)(1-x^2)))]= 1/(sqrt(1-x^2))-1/(2sqrt(x-x^2)) (-1)/(sqrt(1-x^2))-1/(2sqrt(x-x^2)) 1/(sqrt(1-x^2))+1/(2sqrt(x-x^2)) 1/(sqrt(1-x^2)) 0 b. 1//4 c. -1//4 d. none of these

d/(dx)[cos^(-1)(xsqrt(x)-sqrt((1-x)(1-x^2)))]= 1/(sqrt(1-x^2))-1/(2sqrt(x-x^2)) (-1)/(sqrt(1-x^2))-1/(2sqrt(x-x^2)) 1/(sqrt(1-x^2))+1/(2sqrt(x-x^2)) 1/(sqrt(1-x^2)) 0 b. 1//4 c. -1//4 d. none of these