what is the simplest form of the expression? sqr root 6x^8y^9/ sqr root 5x^2y^4

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28-01-2018
Mathematics

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what is the simplest form of the expression? sqr root 6x^8y^9/ sqr root 5x^2y^4

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altavistard altavistard · Answer 1 · 2018-01-28T04:33:44+01:00

For slightly greater clarity, write this expression as

sqrt(6x^8y^9) 6x^8y^9
-------------------- This is equivalent to sqrt[ -------------------- ]
sqrt(5x^2y^4) 5x^2y^4

Reduce the quantity inside the square brackets, obtaining:

6*x^6*y^5
sqrt[ ---------------- ]
5

This simplifies as follows: sqrt[ 6/5 ] * [ x^3 * y^(5/2)

which can be simplified even further if you wish.