SOLUTION: √(18yz^2 ) Rewrite in simplified radical form, ssume that all variables represent positive real numbers

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Question 294178: √(18yz^2 ) Rewrite in simplified radical form, ssume that all variables represent positive real numbers
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%2818%2Ay%2Az%5E2%29 Start with the given expression.


sqrt%289%2A2%2Ay%2Az%5E2%29 Factor 18 into 9%2A2


sqrt%289%29%2Asqrt%282%29%2Asqrt%28y%29%2Asqrt%28z%5E2%29 Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


3%2Asqrt%282%29%2Asqrt%28y%29%2Asqrt%28z%5E2%29 Take the square root of 9 to get 3.


3%2Asqrt%282%29%2Asqrt%28y%29%2Az Take the square root of z%5E2 to get z.


3z%2Asqrt%282y%29 Rearrange and multiply the terms.

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Answer:


So sqrt%2818%2Ay%2Az%5E2%29 simplifies to 3z%2Asqrt%282y%29


In other words, sqrt%2818%2Ay%2Az%5E2%29=3z%2Asqrt%282y%29 where every variable is non-negative.