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(i) 3/root5
3(root5)/root5(root5)
=3root5/5
(ii)2/root18
2(root18)/root18(root18)
=2root18/18
(iii)2/3root7
2(3root7)/3root7(3root7)
6root7/63
(iv)1/2+root3
1(2-root3)/2+root3(2-root3)
2-root3/(2)^2-root3^2
=2-root3/4-1
=2-root3/1
(v)6/root7-root5
6(root7+root5)/root7-root5(root7+root5)
6root7+6root5/root7^2-root5^2
6root7/7-5
=6root7/2
(vi)4+root3/4-root3
4+root3(4+root3)/4-root3(4+root3)
4^2+2(4)(root3)/4^2-root3^2
8+8root3/4-3
=8+8root3/1
(vii)root3/root6
rooot3root6)/root6(root6)
=root18/6
(viii)a+b/root a+b
a+b(roota-b)/root a+b(root a-b)
a+b root a-b/root a^2-b^2
(ix)5/root8-root7
5(root8+root7)/root8-root7(root8+roor7)
5root8+5root7/root8^2-root7^2
=5root8+5root7/8-7
=5root8+5root7/1
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