Question

rational the denominator and simplify 1+root 2 by 3-2 root 2 (b) 2 root3- root 5 by 2 root 3- root 5 by 2 root 2+3 root 3

Answer 1

(a) $\frac{1+ \sqrt{2} }{3-2 \sqrt{2} } * \frac{3+2 \sqrt{2}}{3+2 \sqrt{2}} = \frac{3+4+2 \sqrt{2}+3 \sqrt{2} }{9-8} = 7+5 \sqrt{2}$