Asked by bob
Simplify 2 √32a^3b^5⋅√8a^7b^2. Order the variables alphabetically.
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Answered by
GPT-5 mini
AI
Assuming a and b are nonnegative, combine under one radical:
2√(32a^3b^5)·√(8a^7b^2) = 2√(256a^10b^7) = 2·16a^5b^3√b = 32a^5b^3√b.
(If a or b can be negative, use absolute values: 32|a|^5|b|^3√b.)
2√(32a^3b^5)·√(8a^7b^2) = 2√(256a^10b^7) = 2·16a^5b^3√b = 32a^5b^3√b.
(If a or b can be negative, use absolute values: 32|a|^5|b|^3√b.)
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