Question

Rezolvati urmatoarele exercitii :
4√6+√6-5√6=
√3×√2=
2√6×3√3=
-4√25÷√5
Rezolvarea completa

Answer 1

4√6+√6-5√6 = 4√6 +1√6 -5√6 = (4+1-5)√6 =0√6 = 0

√3×√2=√3*2 = √6

2√6×3√3 = 6√18 = 18√2

-4√25÷√5 = -4*5:√5 = - (4*5)/√5 = -4√5

Answer 2

4√6 +√6 - 5√6 = 5√6 - 5√6 = 0 

√3 × √2 = √6 

2√6 × 3√3= (2 × 3) ×(√6×√3) = 6√18 = 6√2×√9= 6 × 3√2=18√2

- 4 √25 : √5 = - 4 × 5 × 1/√5 = - 4 × 5 × √5/5 = - 4√5
   →√25 = √5²=5
→1/√5 = rationalizez numitorul amplificand cu √5 = √5/5;
→ simplific pe 5 cu 5 = 1