SOLUTION: Simplify {{{sqrt(180x^4)}}}

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Question 126393: Simplify

sqrt%28180x%5E4%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!


Start with the given expression


Convert the expression from radical notation to exponent notation. Remember


Rewrite 180 as 180%5E1


Now distribute the exponent Now distribute the outer exponent 1%2F2 to each exponent in the parenthesis. Remember %28x%5Ey%29%5Ez=x%5E%28y%2Az%29

Now multiply the exponents

Reduce

Now convert back to radical notation


Simplify sqrt%28180%29 to get 6%2Asqrt%285%29. Note: If you need help with simplifying square roots, check out this solver



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Answer:

So sqrt%28180x%5E4%29 simplifies to 6x%5E2%2Asqrt%285%29


In other words, sqrt%28180x%5E4%29=6x%5E2%2Asqrt%285%29