calcula las siguientes raices cuadradas exactas o enteras mediante la descomposición en factores primos
raíz cuadrada de
a.1024 b.855 c.1728 d.50 625 e.3136 f.729
Respuestas
a. √1024
1024: 2 = 512
512: 2 = 256
256:2 = 128
128:2 = 64
64:2 = 32
32:2 = 16
16:2 = 8
8:2 =4
4:2 = 2
2:2= 1
√1024 = √2¹⁰ = √2²x √2² x √ 2² x √ 2² x √2² = 2 x 2 x 2 x 2 x 2 = 32
√1024 = 32
b. √855
855 : 5 = 171
171 : 3 = 57
57 : 3 = 19
19: 19 = 1
√855 = √5 x√3² x√19 = 3√5 x √19
√855 = 3√5 x √19
c. √1728
1728 : 2 = 864
864 : 2 = 432
432 : 2 = 216
216 : 2 = 108
108 : 2 = 54
54 : 2 = 27
27 : 3 = 9
9 : 3 = 3
3 : 3 = 1
√1728 = √2⁶ x √3³ = √2² x √2² x √2² x √3² x √3
√1728 = 2 x 2 x 2 x 3 x√3
√1728 =24√3
d.√50625
50625 : 5 = 0125
10125 : 5 = 2012
2025 : 5 = 405
405 : 5 = 81
81 : 3 = 27
27 : 3 = 9
9 : 3 = 3
3 : 3 = 1
√50625 = √5⁴ x √3⁴ = √5² x √5² x √3² x √3² = 5 x 5 x 3 x 3 = 25 x 9 = 225
√50625 = 225
e. √3136
3136 : 2 = 1568
1568 : 2 = 784
784 : 2 = 392
392 : 2 = 196
196 : 2 = 98
98 : 2 = 49
49 : 7 = 7
7 : 7 = 1
√3136 = √2⁶ x √7² = √2² x √2² x √2² x √7² = 2 x 2 x 2 x 7 = 8 x 7 =56
√3136 = 56
f. √729
729 : 3 = 243
243 : 3 = 81
81 : 3 = 27
27 : 3 = 9
9 : 3 = 3
3 : 3 = 1
√729 = √3⁶ = √3² x √3² x √3² = 3 x 3 x 3 = 27
√729 = 27
Respuesta:jrjujwjshhdkdnjshwyuy_uuuth3ju÷¿*%/¿@¡×;&$;)::×&**$*%**%,
Explicación paso a paso:
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