КАК РЕШАТЬ МАТЕМАТИКА 10 КЛ
[tex]( \sqrt{13} + \sqrt{5} ) ^{2} /72+8 \sqrt65} [/tex]
[tex]( \sqrt{13} + \sqrt{5} ) ^{2} /72+8 \sqrt65} [/tex]
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Verified answer
(√13 + √5)²=13+2√13·√5+5=18+2√65=2(9+√65)2·(9+√65)/8·(9+√65)=2/8=1/4=0,25
Verified answer
(√13)²+2√13√5+(√5)² 13+2√65 + 5 18+2√65 2(9+√65)= ---------------------------- = --------------------- = ---------------- = --------------- =
8(9+√65) 8(9+√65) 8(9+√65) 8(9+√65)
2 1
= (сократить на скобку) = ----- = --- = 0,25
8 4