2√6-√5÷3√5-2√6 rationalise the denominator
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3
5
−2
6
2
6
+
5
=
3
5
−2
6
2
6
+
5
×
3
5
+2
6
3
5
+2
6
=
9×5−4×6
(2
6
+
5
)(3
5
+2
6
)
[∵a
2
−b
2
=(a−b)(a+b)]
=
45−24
(6×6×5+4×6×6+3×5×5+2×5×6)
=
21
(180+144+75+60)
=
21
459
=
7
153
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