CAPITULO XXXI
R a d i c a l e s
División de radicales cuando el divisor es compuesto
R a d i c a l e s
División de radicales cuando el divisor es compuesto
- Ejercicio 250
Dividir:
- 2 entre 2 + 3 2 2 + 3 = 2 2 + 3 × 2 – 3 2 – 3 = 2– 6 2–3 = 2– 6 –1 = 6 –2
- 3 entre 3 –2 5 3 3 –2 5 = 3 3 –2 5 × 3 +2 5 3 +2 5 = 3+2 15 ( 3 ) 2 – ( 2 5 ) 2 = 3+2 15 3–4( 5 ) = 3+2 15 3–20 =– 3+2 15 17
- 2+ 5 entre1– 5 2+ 5 1– 5 = 2+ 5 1– 5 × 1+ 5 1+ 5 = 2+ 5 +2 5 +5 1– ( 5 ) 2 = 7+3 5 1–5 = 7+3 5 –4 =– 7+3 5 4
- 2 + 5 entre 2 – 5 2 + 5 2 – 5 = 2 + 5 2 – 5 × 2 + 5 2 + 5 = ( 2 + 5 ) 2 ( 2 ) 2 – ( 5 ) 2 = 2+2 10 +5 2–5 =– 7+2 10 3
- 2 3 – 7 entre 3 + 7 2 3 – 7 3 + 7 = 2 3 – 7 3 + 7 × 3 – 7 3 – 7 = 2 3 2 – 21 –2 21 + 7 2 ( 3 ) 2 – ( 7 ) 2 = 2( 3 ) –3 21 +7 3–7 = 6–3 21 +7 –4 = 3 21 –13 4
- 6 +2 5 entre2 6 – 5 6 +2 5 2 6 – 5 = 6 +2 5 2 6 – 5 × 2 6 + 5 2 6 + 5 = 2( 6 ) +4 30 + 30 +2( 5 ) ( 2 6 ) 2 – ( 5 ) 2 = 12+5 30 +10 4( 6 ) –5 = 22+5 30 19
- 5 2 +3 3 entre3 2 –4 3 5 2 +3 3 3 2 –4 3 = 5 2 +3 3 3 2 –4 3 × 3 2 +4 3 3 2 +4 3 = 15 2 2 +9 6 +20 6 +12 3 2 ( 3 2 ) 2 – ( 4 3 ) 2 = 15( 2 ) +29 6 +12( 3 ) 9( 2 ) –16( 3 ) = 30+29 6 +36 18–48 =– 66+29 6 30
- 7 –2 11 entre2 7 + 11 7 –2 11 2 7 + 11 = 7 –2 11 2 7 + 11 × 2 7 – 11 2 7 – 11 = 2 7 2 – 77 –4 77 +2 1 1 2 ( 2 7 ) 2 – ( 11 ) 2 = 2( 7 ) –5 77 +2( 11 ) 4( 7 ) –11 = 14–5 77 +22 28–11 = 36–5 77 17