given that a and b are rational numbers, find the value of a and of b in the following equation:

a-bsquareroot7 = (2+squareroot7)(2-squareroot7)+squareroot7

2 answers

a-broot(7)=(2)^2-root(7)^2+roo(7)
a-broot(7)=4-7+root(7)
a-broot(7)=root(7)-3
now just compare the coefficent
a=?
b=?
(2+√7)(2-√7)+√7
4-7+√7
-3+√7

a = -3
b = -1