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1 ³ 4 1 4 √2 4√2 √2
( --- ) x -------- = -------x------------- = -----------=----------
2 4 √2 8 4 √2 *√2 8x4x2 16
( 1/2)³ * 4 / 4.√2 Simplificamos el 4
(1/2)³ * 1/√2 =
1/(2*2*2) * 1 / √2 =
1/8 * 1/√2 =
1 / 8√2 = Racionalizamos multiplicamos y dividimos por √2
1/8√2 * √2/√2 =
√2/8√2√2 =
√2/8(√2)² =
√2 / 8 * 2 =
√2/16
Respuesta.
√2/16