Respuesta:
a) 30√7
b) 2 (⁴√30)
c) ³√2
D) 4(³√2)
Explicación paso a paso:
a) 5√21 × 2√3 = 5√7√3 × 2√3 = 5√3 × 2√3 × √7 = 10(√3)² × √7 = 10(3) × √7 = 30√7
b) ⁴√24 × ⁴√20 = ⁴√(6×4×4×5) = ⁴√(4×4) × ⁴√(6×5) = ⁴√16 × ⁴√30 = 2(⁴√30)
c) ³√10 ÷ ³√5 = ³√(10/5) = ³√2
d) 6(³√80) ÷ ³√135 = 6 × ³√(80/135) = 6 × ³√(16/27) = 6 × ³√(8×2)/³√27 = 6 × ³√8 × ³√2/3 = (6/3) × 2 × ³√2 = 2×2׳√2 = 4(³√2)
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Respuesta:
a) 30√7
b) 2 (⁴√30)
c) ³√2
D) 4(³√2)
Explicación paso a paso:
a) 5√21 × 2√3 = 5√7√3 × 2√3 = 5√3 × 2√3 × √7 = 10(√3)² × √7 = 10(3) × √7 = 30√7
b) ⁴√24 × ⁴√20 = ⁴√(6×4×4×5) = ⁴√(4×4) × ⁴√(6×5) = ⁴√16 × ⁴√30 = 2(⁴√30)
c) ³√10 ÷ ³√5 = ³√(10/5) = ³√2
d) 6(³√80) ÷ ³√135 = 6 × ³√(80/135) = 6 × ³√(16/27) = 6 × ³√(8×2)/³√27 = 6 × ³√8 × ³√2/3 = (6/3) × 2 × ³√2 = 2×2׳√2 = 4(³√2)