Выражения с корнями

[5* ³√(6√32) — 3* ³√(9√162)]^6 =

= [5* ³√(6√2*16) — 3* ³√(9√2*81)]^6 =

= [5* ³√(6*4√2) — 3* ³√(9*9√2)]^6 =

= [5* ³√(3*2³√2) — 3* ³√(3*3³√2)]^6 =

= [10 * ³√(3√2) — 9 * ³√(3√2)]^6 =

= [1 * ³√(3√2)]^6 = (3√2)² = 3²*2 = 18
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[ ^4√(7 ³√54 + 15 ³√128) / ^12 √2 ] ³ =
= [ ^4√(7 ³√2*3³ + 15 ³√2*4³) / ^12√2] ³ =
= [ ^4√(21³√2 + 60 ³√2) / ^12√2] ³ =
= [ ^4√(81 ³√2) / ^12√2] ³ =
= [ ^4√(3^4 * ³√2) / ^12√2] ³ =
= [ 3 * ^4√³√2 / ^12√2] ³ =
= [ 3 * ^12√2 / ^12√2] ³ =
= [ 3 ] ³ = 27