SOLUTION: Find 2 other pairs of positive integers a and b such that the square root of a * the square root of b = 6*the square root of 5

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Question 195309: Find 2 other pairs of positive integers a and b such that the square root of a
* the square root of b = 6*the square root of 5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28a%29%2Asqrt%28b%29=6%2Asqrt%285%29 Start with the given equation


sqrt%28a%29%2Asqrt%28b%29=sqrt%2836%29%2Asqrt%285%29 Rewrite 6 as sqrt%2836%29


sqrt%28ab%29=sqrt%2836%2A5%29 Combine the roots.


sqrt%28ab%29=sqrt%28180%29 Multiply


ab=180 Square both sides. Take note that ab%3E=0


So all you need to do is find two numbers that multiply to 180. I'll let you do that.