Question

if a+8√5b=8+√5/8-√5+8-√5/8+√5 find the a and b

Answer 1

GIVEN
if a+8√5b=8+√5/8-√5+8-√5/8+√5
RHS
= 8 + (√5 / 8) - √5 + 8 - (√5 / 8) + √5
MAKE IT EQUAL TO a + 8√5b
8 + (√5 / 8) - √5 + 8 - (√5 / 8) + √5 = a + 8√5b
LCM is 8
(64 + √5 - 8√5 + 64 - √5 + 8√5) / 8 = a + 8√5b
128 / 8 = a + 8√5b
16 = a + 8√5b
Can be written as
16 + (8√5) x0 = a + 8√5b
Therefore, a = 16 & b = 0