Сравнить √19 и √7+√3

Question

Сравнить √19 и √7+√3

Answer 1

( √ 19 )² = 19 
( √ 7 + √ 3 )² = 7 + 2√21 + 3 = 10 + 2√21 = 10 + √ 84 
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19 = 10 + 9 
( √ 7 + √ 3 )² = 10 + √ 84 
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9 = √ 81 
√ 84 
√ 81 < √ 84 <br>ОТВЕТ √ 19 < ( √ 7 + √ 3 )