Show that `4sin27^0=(5+sqrt(5))^(1/2)-(3-sqrt(5))^(1/2)`

Prove that, 4sin27^(@)=sqrt(5+sqrt(5))+sqrt(3-sqrt(5))

Solve sqrt(5)x^(2) + x + sqrt(5)=0

The harmonic mean of the roots of the equation (5+sqrt(2))x^2-(4+sqrt(5))x+8+2sqrt(5)=0 is 2 b. 4 c. 6 d. 8

Show that, sin^(-1)(2xsqrt(1-x^(2)))=2sin^(-1)x,-1/sqrt2lexle1/sqrt2

Solve the equation sqrt((2x^(2)+5x-2))-sqrt(2x^(2)-5x-9)=1

The value of (sqrt(5)+1)^(5)-(sqrt(5)-1)^(5) is ………

cos^(-1)x = tan^(-1)x , then: a. x^2=((sqrt(5)-1)/2) b. x^2=((sqrt(5)+1)/2) c. sin(cos^(-1)x)=((sqrt(5)-1)/2) d. tan(cos^(-1)x)=((sqrt(5)-1)/2)

Simplify : ( 4sqrt3 - 3sqrt5)^(2)

The number of solutions of the equation sqrt(x^(2))-sqrt((x-1)^(2))+sqrt((x-2)^(2))=sqrt(5) is

(5(8^(1/3)+27^(1/3))^(3))^(1/4) =