Rozwiąż:
a) (3 - pierwiastek z 7) (2 + 2pierwiastki z 7)
b) (3 + 4pierwiastki z 2 do kwadratu)
a) (3 - √7) (2 + 2√7)=
=6+6√7-2√7-14=
=-8+4√7
b) (3 + 4√2)²=
=9+24√2+32=
=24√2+41
a) (3 - pierwiastek z 7) (2 + 2pierwiastki z 7)=
(3- √7)( 2 + 2√7) =
= 6 + 3*2√7 -2√7 - 2√7*√7 =
= 6 + 6√7 -2√7 - 2*7 =
= 4√7 -8 =
= 4(√7 -2)
(3 +4√2)² ( chyba to tak ma być !
Stosuję wzór: (a + b)²=a² + 2ab + b²
= 3² + 2*3*4√2 + 4²*( √2)² =
= 9 + 24√2 + 16*2 =
= 9 + 24√2 +32 =
= 41 + 24√2
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a) (3 - √7) (2 + 2√7)=
=6+6√7-2√7-14=
=-8+4√7
b) (3 + 4√2)²=
=9+24√2+32=
=24√2+41
Rozwiąż:
a) (3 - pierwiastek z 7) (2 + 2pierwiastki z 7)=
(3- √7)( 2 + 2√7) =
= 6 + 3*2√7 -2√7 - 2√7*√7 =
= 6 + 6√7 -2√7 - 2*7 =
= 4√7 -8 =
= 4(√7 -2)
b) (3 + 4pierwiastki z 2 do kwadratu)
(3 +4√2)² ( chyba to tak ma być !
Stosuję wzór: (a + b)²=a² + 2ab + b²
= 3² + 2*3*4√2 + 4²*( √2)² =
= 9 + 24√2 + 16*2 =
= 9 + 24√2 +32 =
= 41 + 24√2