Question

express 2 root2+3 root3/2-root2+root3.with rational denominator.

Answer 1

2 root 2 - root 2 + 3 root3/2 + root 3
subracting 2 root 2 - root 2 = root 2 ----- 1
3 root3/2 + root 3 = 5 root 3/2 (by l.c.m) ----- 2
adding 1 and 2
root 2 + 5 root3/2 = 2 root 2/2 +5 root 3/2
as the l.c.m taken is common for both i.e 2;
the final answer is 2 root 2 + 5 root 3/2
hope this helps!!
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