3+√7/3-√7 equal to a+b√7 find the value of a and b find the solution
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multiplied mumerator & denominator by 3root+7
(3+root7) (3+root7)/( 3-root7)(3+root7)=a+b root7
(3+root7)^2 /(3)^2 -(root7)^2= a+b root7
(3^2+ root7^2+2×3×root7)/ 9-7=a+b root7
9+7+6root7/ 2=a+b root7
16+6root7 /2=a+b root7
8+3root7=a+b root7
on comparing
a= 8 & b=3
(3+root7) (3+root7)/( 3-root7)(3+root7)=a+b root7
(3+root7)^2 /(3)^2 -(root7)^2= a+b root7
(3^2+ root7^2+2×3×root7)/ 9-7=a+b root7
9+7+6root7/ 2=a+b root7
16+6root7 /2=a+b root7
8+3root7=a+b root7
on comparing
a= 8 & b=3
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