How many integer x between 1 to 10000000 will satisfy the equation given below
sqrt(x)+sqrt(sqrt(x))+sqrt(sqrt(sqrt(x)))+sqrt(sqrt(sqrt(sqrt(x))))=A
here A is an integral positive number

• since last term contains 4 sqrt so 16 powers are necessary to get an integral value
  so answers will be 1^16, 2^16, 3^16 ....
  but 3^16 is greater than 10000000 hence it will be a non valid answer
  so 2 values of x are possible
  
• 12 years agoHelpfull: Yes(3) No(1)