It is given that $a$ and $b$ are integers and that \(\left( \,1+\sqrt{3}\, \right)\,\,\left( \,a

Question

It is given that $a$ and $b$ are integers and that $\left( \,1+\sqrt{3}\, \right)\,\,\left( \,a\sqrt{3}-5\, \right)\,\,=\,\,b-7\sqrt{3}\,$.Form a pair of simultaneous equations and solve them to find $a$ and $b$.

Accepted Answer

$a=-2,\ b=-11$

Surds - Equating Rational and Irrational Parts

Surds - Equating Rational and Irrational Parts

Video Solution:

Solution:

Solution locked