Question

rationlise
1) 2+root3/ 2-root 3
2 root 6/ root 2+ root 3
3 root 3 + root 2 / root 3 - root 2

Answer 1

2+root 3/2-root 3 = 2+root3/2-root3 * 2+root 3 / 2 - root3
= 2+root 3 whole square by 2-root 3 * 2+ root 3
=
$(x + y) {}^{2} = x {}^{2} + y {}^{2} + 2 \times x \times y$
$(x + y)(x - y) = x {}^{2} - y {}^{2}$
therefore, 2 square +root 3 square + 2*2*root3 / 2square - root 3 square....

= 4+3+ 4root3