Question

arătați ca nr A = radical mare 24 la put2+ 18 la put 2 supra 6 la put 2 +8 la put 2+ 2 radical mare 26 la put 2-24 la put 2 este natural

Answer 1

   
[tex]\displaystyle \\ A = \sqrt{ \frac{24^2+18^2}{6^2+8^2}}+2 \sqrt{ 26^2-24^2} = \\ \\ = \sqrt{ \frac{576+324}{36+64}}+2 \sqrt{ 676-576} = \\ \\ = \sqrt{ \frac{900}{100}}+2 \sqrt{ 100} = \\ \\ = \sqrt{ 9}+2 \sqrt{ 100} = 3 + 2\times 10 =3+20 = \boxed{ 23 \in N} \\ cctd [/tex]