√a+√b=17 and √a-√b=1 to√ab=?
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Assume √a = x and √b=y
then equation 1: x+y2= 11
equation 2: x2+y=7
Subtract eq 2 from eq 1.
the result is: -x2+x-y+y2=4
Grouping gives: (y-x)(y+x-1)=4
Now there are only two ways to get a product of 4. Either 1*4 or 2*2
So that gives a result a=4 and b =9
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