Question

sa se arate ca urmatoarele nr.sunt patrate perfecte :a=2 la puterea 5 la puterea 2 :[4×2 la puterea 2×(5-3×17 la puterea 0)] totul la puterea 4 +2 la puterea 2=

Answer 1

a=2^5^2 :[4×2^2×(5-3×17^0)]^4 +2^2=
=2^25 :[2^2×2^2×(5-3×1)]^4 +2^2=
=2^25 :(2^4×2)^4 +2^2=
=2^25 :(2^5)^4 +2^2=
=2^25 :2^20 +2^2=
=2^5 +2^2=
=2^2 *(2^3+2^0)
=2^2 *(8+1)=
=2^2 * 9=
=2^2 * 3^2=
=(2*3)^2=
=6^2 deci patrat perfect