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Byju's Answer
Standard IX
Mathematics
Rationalisation
Rationalise t...
Question
Rationalise the denominator and simplify:
2
√
6
−
√
5
3
√
5
−
2
√
6
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Solution
Given:
2
√
6
−
√
5
3
√
5
−
2
√
6
Multiplying both numerator and denominator by
3
√
5
+
2
√
6
to rationalise the denominator.
=
(
2
√
6
−
√
5
)
(
3
√
5
+
2
√
6
)
(
3
√
5
−
2
√
6
)
(
3
√
5
+
2
√
6
)
=
6
√
30
+
24
−
15
−
2
√
30
(
3
√
5
)
2
−
(
2
√
6
)
2
=
4
√
30
+
9
45
−
24
=
4
√
30
+
9
21
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Rationalisation
Standard IX Mathematics
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