Rationalise: 2√6/√2+√3+√5 .
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Class 9
>>Maths
>>Number Systems
>>Rationalisation
>>Rationalise the denominator and simplify
Question
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Rationalise the denominator and simplify
3
5
−2
6
2
6
−
5
Medium
Solution
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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
(Rationalisation of denominator)
=
9×5−4×6
(2
6
+
5
)(3
5
+2
6
)
[∵a
2
−b
2
=(a−b)(a+b)]
=
45−24
(2
6
×3
5
+2
6
×2
6
+
5
×3
5
+
5
×2
6
)
=
21
(6
30
+24+15+2
30
)
=
21
39+8
3
HOPE THIS ANSWER IS HELPFUL FOR YOU
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