Simplify the radical

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Manuela Hutter asked Jun 8, 2023

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17 votes

Simplify the radical

Mathematics
high-school

Manuela Hutter asked Jun 8, 2023

by Manuela Hutter

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20 votes

Answer:

9d^3

Explanation:

$~~~√(81 d^6)\\\\=\left(81 d^6 \right)^(\tfrac 12)\\\\=\left(81\right)^(\tfrac 12) \cdot \left(d^6 \right)^(\tfrac 12)\\\\=\left(9^2 \right)^(\tfrac 12) \cdot d^(\tfrac 62)\\\\=9d^3$

NoelProf answered Jun 12, 2023

by NoelProf

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