Seemingly Hard

Algebra Level 3

Solve for positive integer $x$ :

$\sqrt x+\sqrt[3] {x^2}+\sqrt[4] {x^3}=832$

1 solution

Vincent Huang
Jul 23, 2020

Let $832$ change as binary number to solve.

$832=2^6+2^8+2^9$

Therefore,

$x=2^{12}=\boxed{4096}$

Nice solution, upvoted!

Mahdi Raza - 10 months, 1 week ago

noice solution

Odin Wang - 10 months ago