kill(all)$

van=facebook.com/LearningCalculus$

f(x):=sqrt(x+sqrt(x+sqrt(x+sqrt(x))));
g(x):= x^(1/2) + x^(1/4) + x^(1/8) + x^(1/16);
h(x):= (x + (x + (x + (x)^(1/2))^(1/2))^(1/2))^(1/2);

i(x):=x^(1/8)+x^(1/16)+x^(1/4) + x^(1/2);

float(i(2));

float(h(2));

radcan(h(x));

is(equal(f(x),g(x)));

f(2);

float(f(2));

float(f(20));

float(f(200));

g(2);

float(g(2));

Sqrt(x):=float(sqrt(x));

a(x):=Sqrt(x);
b(x):=Sqrt(sqrt(x));
c(x):=Sqrt(sqrt(sqrt(x)));
d(x):=Sqrt(sqrt(sqrt(sqrt(x))));

a(2);
b(2);
c(2);
d(2);

sqrt(sqrt(sqrt(x)));

sqrt(sqrt(x));

sqrt(x);