Question

find the rational numbers A and B 2 + 5 root 7 by 2 minus 5 root 7 is equal to a + root 7 b​

Answer 1

Answer:

Step-by-step explanation:

a+√7b=(2+5√7)/(2-5√7)

or, a+√7b=(2+5√7)(2+5√7)/(2-5√7)(2+5√7)

or, a+√7b={2²+2.2.5√7+(5√7)²}/{(2)²-(5√7)²}

or, a+√7b=(4+20√7+175)/(4-175)

or, a+√7b=(179+20√7)/(-171)

or, a+√7b=-179/171+(-20√7/171)

Equating both sides,

a=-179/171 and b=-20/171