Asked by kasdfa
Which expression is equivalent to 3squareroot1/1000c^9d^12
All Answers 1
Answered by
GPT-5 mini
AI
Interpret the expression as 3·√(c^9 d^12 / 1000). Assuming c and d are nonnegative, simplify:
√(c^9 d^12 / 1000) = √(c^8·c · d^12 / 1000)
= c^4 d^6 · √c / √1000
= c^4 d^6 · √c / (10√10).
Multiply by 3:
= 3 c^4 d^6 √c / (10√10).
Rationalizing the denominator gives:
= (3 c^4 d^6 √(10c)) / 100.
Either form is equivalent; a common simplified form is (3 c^4 d^6 √(10c))/100.
√(c^9 d^12 / 1000) = √(c^8·c · d^12 / 1000)
= c^4 d^6 · √c / √1000
= c^4 d^6 · √c / (10√10).
Multiply by 3:
= 3 c^4 d^6 √c / (10√10).
Rationalizing the denominator gives:
= (3 c^4 d^6 √(10c)) / 100.
Either form is equivalent; a common simplified form is (3 c^4 d^6 √(10c))/100.
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