simplify `sqrt(5^2sqrt(5^2sqrt(5^2sqrt(5^2))))`

Simplify sqrt(5+2sqrt(6))+sqrt(8-2sqrt(15))

(sqrt(6+2sqrt(5)))(sqrt(6-2sqrt(5)))

Simplify: (2sqrt(3)+sqrt(5))(2sqrt(3)-sqrt(5))

Simplify (sqrt5-sqrt2)(sqrt5+sqrt2)

2sqrt5 - sqrt5 = sqrt5

Simplify (5+sqrt(7))(5+sqrt(2))

Simplify: (sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+\ 2)/(sqrt(5)-\ 2)

Find sqrt(2+3sqrt(-5)) + sqrt(2-3sqrt(-5))

The domain of f(x)=sin^(-1)[2x^2-3],w h e r e[dot] denotes the greatest integer function, is (-sqrt(3/2),sqrt(3/2)) (-sqrt(3/2),-1)uu(-sqrt(5/2),sqrt(5/2)) (-sqrt(5/2),sqrt(5/2)) (-sqrt(5/2),-1)uu(1,sqrt(5/2))

The domain of f(x)=sin^(-1)[2x^2-3],w h e r e[dot] denotes the greatest integer function, is (-sqrt(3/2),sqrt(3/2)) (-sqrt(3/2),-1)uu(-sqrt(5/2),sqrt(5/2)) (-sqrt(5/2),sqrt(5/2)) (-sqrt(5/2),-1)uu(1,sqrt(5/2))