Question

Simplifique as raizes imperfeitas de √3150. √780

Answer 1

√3150

Fatorar o radicando

3150 | 2
1575 | 3
  525 | 3
  175 | 5
    35 | 5
      7 | 7 
      1 | === 2 . 3² . 5² . 7

√3150
√2 . 3² . 5² . 7
3 . 5√2.7
=> 15√14

====

√780

780 | 2
390 | 2
195 | 3
  65 | 5
  13 | 13
    1 | === 2² . 3 . 5 . 13

√780
√2² . 3 . 5 . 13
2√3. 5 . 13
=> 2√195