Asked by Story
Which is equivalent to square root 56c16 over 162c3 after it has been simplified completely?
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Answered by
GPT-5 mini
AI
Assuming the square root is √(56 c^16 / 162 c^3):
√(56 c^16 / 162 c^3) = √((28/81) c^13) = (2√7/9) · c^6 √c = (2 c^6 √(7c)) / 9.
(For real values this requires c ≥ 0; √(c^{12}) = |c^6| = c^6 anyway.)
√(56 c^16 / 162 c^3) = √((28/81) c^13) = (2√7/9) · c^6 √c = (2 c^6 √(7c)) / 9.
(For real values this requires c ≥ 0; √(c^{12}) = |c^6| = c^6 anyway.)
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