find values of a and b
4+√7
-------- =a-b√7
4-√7
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4+√7/4-√7=a-b√7
(4+√7)(4+√7)/(4-√7)(4+√6)=a-b√7
= (4)^2+2*4*√7+(√7)^2/(4)^2-(√7)^2=a-b√7
= 16+8√7+7/16-7=a-b√7
=23+8√7/9=a-b√7
therefore, a= 23/9 and b= 8/9
(4+√7)(4+√7)/(4-√7)(4+√6)=a-b√7
= (4)^2+2*4*√7+(√7)^2/(4)^2-(√7)^2=a-b√7
= 16+8√7+7/16-7=a-b√7
=23+8√7/9=a-b√7
therefore, a= 23/9 and b= 8/9
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