Problem #PRU-65593

Problems Calculus Real numbers Integer and fractional parts. Archimedean property Algebra and arithmetic Surds. Rational powers. Irrational inequalities.
 12–14  3.0

Problem

It is known that \(a > 1\). Is it always true that \(\lfloor \sqrt{\lfloor \sqrt{a}\rfloor }\rfloor = \lfloor \sqrt{4}{a}\rfloor\)?