A négyzetgyökvonás azonosságai – feladatok

  1. √2 ⋅ √18 = √2 ⋅ 18 = √36 = 6

  2. √2 ⋅ √32 = √2 ⋅ 32 = √64 = 8

  3. √20 ⋅ √5 = √20 ⋅ 5 = √100 = 10

  4. √14 ⋅ √10 ⋅ √7 ⋅ √5 = √14 ⋅ 10 ⋅ 7 ⋅ 5 = √4900 = √49 ⋅ √100 = 7 ⋅ 10 = 70

  5. √72 / √2 = √72/2 = √36 = 6


  6. √99 / √11 = √99/11 = √9 = 3


  7. √112 / √7 = √112/7 = √16 = 4


  8. √338 / √2 = √338/2 = √169 = 13


  9. √3 ⋅ √48 = √3 ⋅ 48 = √144 = 12

  10. √675 / √3 = √675/3 = √225 = 15


  11. √1445 / √5 = √1445/5 = √289 = 17


  12. √54 ⋅ √6 = √54 ⋅ 6 = √324 = 18

  13. (√5 − 2)(6 + 2√5) = −2 + 2√5

  14. (7 − √3)(2√3 + 1) = 13√3 + 1

  15. (√5 + 2√6)(3√6 − √5) = 31 + √30

  16. (4√3 + 2√2)(3√3 + 5√2) = 56 + 26√6