SOLUTION: Simplify..square root 44x to the 4th power y to the third power My answer is 2 square root 11x to the 2nd power y to the 2nd power which i do not believe is correct. Pleas

Algebra ->  Radicals -> SOLUTION: Simplify..square root 44x to the 4th power y to the third power My answer is 2 square root 11x to the 2nd power y to the 2nd power which i do not believe is correct. Pleas      Log On


   

Question 336336: Simplify..square root
44x to the 4th power y to the third power
My answer is 2 square root 11x to the 2nd power y to the 2nd power which i do not believe is correct.
Please help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%2844%2Ax%5E4%2Ay%5E3%29 Start with the given expression.


sqrt%284%2A11%2Ax%5E4%2Ay%5E3%29 Factor 44 into 4%2A11


sqrt%284%2A11%2Ax%5E2%2Ax%5E2%2Ay%5E3%29 Factor x%5E4 into x%5E2%2Ax%5E2


sqrt%284%2A11%2Ax%5E2%2Ax%5E2%2Ay%5E2%2Ay%29 Factor y%5E3 into y%5E2%2Ay


Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


2%2Asqrt%2811%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28y%5E2%29%2Asqrt%28y%29 Take the square root of 4 to get 2.


2%2Asqrt%2811%29%2Ax%2Ax%2Asqrt%28y%5E2%29%2Asqrt%28y%29 Take the square root of x%5E2 to get x.


2%2Asqrt%2811%29%2Ax%2Ax%2Ay%2Asqrt%28y%29 Take the square root of y%5E2 to get y.


2x%5E2y%2Asqrt%2811y%29 Rearrange and multiply the terms.

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Answer:


So sqrt%2844%2Ax%5E4%2Ay%5E3%29 simplifies to 2x%5E2y%2Asqrt%2811y%29


In other words, sqrt%2844%2Ax%5E4%2Ay%5E3%29=2x%5E2y%2Asqrt%2811y%29 where every variable is non-negative.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my website.

Jim