Question

calcule as raizes pelo processo da decomposições em fatores primo a- 144 b-196 c -225

Answer 1

144/2
72/2
36/2
18/2
9/3
3/3
1  (2^4 x 3²)= (2² x3)²= (4x3)² = 12²

196/2
98/2
49/7
7/7
1  (2² x7²) = (2x7)² = 14²

225/3
75/3
25/5
5/5
1    (3²x5²) = ( 3x5)² = 15²

Answer 2

)a- 144 b-196 c -225

a)

144: 2
72: 2
36: 2
18: 2
9: 3
3: 3
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1  =   2⁴ . 3²

√144 = √2⁴ . √3² = √16.√9 = 4.3 = 12

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b)
196: 2
98: 2
49: 7
7: 7
------------
1   = 2².7²

√196 = √2².√7² = 2.7 = 14

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c)

225: 3
75: 3
25: 5
5: 5
--------------
1  = 3².5²

√225 = √3².√5² = 3.5 = 15