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p - √q = (4 + √2) / (4 - √2)
rationalising we get
p - √q = (4 + √2) (4 + √2) / (4 - √2) ( 4 + √2)
p - √q = (16 + 2 + 8√2) / (16 - 2)
p - √q = (18 + 8√2) / 14
p - √q = 18/14 + 8√2/14
p - √q = 9/7 + 4√2/7
p - √q = 9/7 + √(16*2/49
p - √q = 9/7 - (-√32/49
comparing
p = 9/7
√q = -√32/49
q = 32/49
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