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What is the simplest form of 4 square root 81x^8y^5?

What is the simplest form of 4 square root 81x^8y^5?-example-1
User GaryFurash
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2 Answers

5 votes
firstly,
thanks for posting this.

81 = 9x9 or 9 squared so at this stage I'm guessing the last two.
x^ 8 = (x^ 4) x (x^ 2) (its called the multiplication rule of indices).
Okay I have approx 14 mins to answer.
No panic
√ 81.x^8 x √ y^5
√ (9x^2 x 9x^6) x √ y^5
= 9x x √ 9x^6 x √ y^5
did I just gain time?
√ 9x^6 = 3x ^3 x √ 3x ^ 3
or 2 . √ 3x^3. √ y^5
more time
okay, so that wasnt successful.
√ 9x^6 = (3x^2) x (3x^4)




User Nicolas Manzini
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5.6k points
4 votes

Answer: The answer is B 3x^2 y (^4 square root y)

Step-by-step explanation: I checked on my calculator it was my answer and it is correct.

User GameAlchemist
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5.6k points