Question

verificati care dintre urmatoarele numere sunt patrate perfecte;8,3^5,4^3,4^0,81,3^12,9^2003,5^2p,27^2p+3,10^6p,unde p e n

Answer 1

Răspuns:

$2^{x} =8\\x = \sqrt{8} \\x = 2,82 => 8$ nu e patrat perfect

$3^{5}= 243\\2^{x}=243\\x=\sqrt{243} \\x=15, 58 => 3^{5}$ nu e pp

$4^{3} =64\\2^{x}=64\\x=\sqrt{64} = 8 => 4^{3}$  este pp

$4^{0} =1\\1^{2} =1\\=> 4^{0}$  este pp

81 = $9^{2} =>$ 81 este pp