`(sqrt5)^(-1)xx(sqrt5)^3`

Simplify each of the following by removing radical signs and negative indices wherever they occur: (i)\ (sqrt(4))^(-3/4) (ii)\ (sqrt(5))^(-3)\ xx\ (sqrt(2))^(-3) (iii)1/(4^(-5)3)

(3+sqrt5)^2 xx (3-sqrt5)^2 = ?

Consider the equation log_(5)[(2+sqrt5)^(x)+(sqrt5-2)^(x)]=1/2-log_(1//5)2. which of the following is True?

((sqrt(5)-3))/((sqrt(5)-3))times((sqrt(5)-3))/((sqrt(5)+3))

sqrt(5){(sqrt(5)+1)^(50)-(sqrt(5)-1)^(50)}

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

(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)) Is equal to :

Evaluate : (1)/(3-sqrt(8)) -(1)/(sqrt(8)-sqrt(7))+(1)/(sqrt(7)-sqrt(6))-(1)/(sqrt(6)-sqrt(5))+(1)/(sqrt(5)-2).

Rationalise the denominator of : ( 1) / ( sqrt 6 ) + ( 1)/( sqrt5 )

Solve : (4-sqrt(5))/(4+sqrt(5))+ (2)/(5+sqrt(3))+(4+sqrt(5))/(4-sqrt(5))