# Solving equations involving surds 2

• June 12th 2013, 09:11 AM
Seaniboy
Solving equations involving surds 2
Given that ( a + √3 ) ( b - √3 ) = 7 + 3√3 and that a and b are positive integers,
Find the values of a and b.
ANSWER: a = 2, b = 5..
But how does one derive those values?
• June 12th 2013, 09:21 AM
Plato
Re: Solving equations involving surds 2
Quote:

Originally Posted by Seaniboy
Given that ( a + √3 ) ( b - √3 ) = 7 + 3√3 and that a and b are positive integers,
Find the values of a and b.
ANSWER: a = 2, b = 5..
But how does one derive those values?

$(a+\sqrt3)(b-\sqrt3)=ab+(b-a)\sqrt3-3$