Question

efetue:
a) √24 + √96
b) √44 - √99

Answer 1

a) √24 + √96

Fatorar o radicandos

24 | 2
12 | 2
  6 | 2
  3 | 3
  1 | == 2³ . 3

96 | 2
48 | 2
24 | 2
12 | 2
  6 | 2
  3 | 3 
  1 | === 2⁵ . 3

√24 + √96
√2³ . 3 + √2⁵ . 3
2√6 + 4√6
=> 6√6

====
b) √44 - √99

44 | 2
22 | 2
11 | 11
  1 | === 2² . 11

99 | 3
33 | 3
11 | 11
  1 |  3² . 11

√44 - √99
√2². 11 - √3² . 11
2.√11 - 3√11
2 - 3 . √11
=> -√11