Roots of Roots
Algebra
Level
2
Find the value of \(x\) satisfying the equation \[ \sqrt{ 3\sqrt{x+5} - \sqrt{x-2} } = 3. \]
Details and assumptions
If the square root signs are not displaying clearly for you, the equation is equivalent to
\[ [3 ( x + 5 ) ^{\frac{1}{2}} - (x-2) ^\frac{1}{2} ]^\frac{1}{2} = 3. \]
by
Arron Kau