SOLUTION: Can you show the steps to simplify this square root fraction problem? Thank you! Square root of 162x^6 over 64x^2 square root 162x^6 ___________ _______ square root 64x^2

Algebra ->  Square-cubic-other-roots -> SOLUTION: Can you show the steps to simplify this square root fraction problem? Thank you! Square root of 162x^6 over 64x^2 square root 162x^6 ___________ _______ square root 64x^2       Log On


   

Question 91072: Can you show the steps to simplify this square root fraction problem? Thank you!
Square root of 162x^6 over 64x^2

square root 162x^6
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square root 64x^2
Answer by gsmani_iyer(201) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%28162x%5E6%29%2Fsqrt%2864x%5E2%29 = sqrt%2881%2A2%2Ax%5E6%29%2Fsqrt%2864x%5E2%29 = sqrt%2881%29%2Asqrt%282%29%2Asqrt%28x%5E6%29%2F%28sqrt%2864%29%2Asqrt%28x%5E2%29%29 = %289x%5E3sqrt%282%29%29%2F8x = %289%2Ahighlight%28x%5E3%29sqrt%282%29%29%2F%288%2Ahighlight%28x%29%29 = %289x%5E2%2Asqrt%282%29%29%2F%284%2Asqrt%282%29%2Asqrt%282%29%29 = %289x%5E2%2Across%28sqrt%282%29%29%29%2F%284%2Asqrt%282%29%2Across%28sqrt%282%29%29%29 = 9x%5E2%2F4sqrt%282%29 Answer.
I have explained step by step how to solve such problems and I hope you have understood too. All the best.
gsm