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Byju's Answer
Standard IX
Mathematics
Rationalisation
Simplify: 5...
Question
Simplify:
5
+
√
3
2
−
√
3
+
2
−
√
3
2
+
√
3
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Solution
5
+
√
3
2
−
√
3
+
2
−
√
3
2
+
√
3
By rationalising the denominator, we have
=
5
+
√
3
2
−
√
3
×
2
+
√
3
2
+
√
3
+
2
−
√
3
2
+
√
3
×
2
−
√
3
2
−
√
3
=
10
+
5
√
3
+
2
√
3
+
3
4
−
3
+
4
+
3
−
4
√
3
4
−
3
=
13
+
7
√
3
+
7
−
4
√
3
=
20
+
3
√
3
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2
Similar questions
Q.
Simplify:
2
√
5
+
√
3
+
1
√
3
+
√
2
−
3
√
5
+
√
2
Q.
Simplify :
(i)
3
√
2
−
2
√
3
3
√
2
+
2
√
3
+
√
12
√
3
−
√
2
(ii)
7
+
3
√
5
3
+
√
5
−
7
−
3
√
5
3
−
√
5
Q.
Simplify:
3
5
+
1
3
2
3
+
2
5
Q.
Simplify
(
5
−
3
)
2
×
3
4
(
3
−
2
)
−
3
×
(
5
3
)
−
2
Q.
Simplify :
7
√
3
√
10
+
√
3
−
2
√
5
√
6
+
√
5
−
3
√
2
√
15
+
3
√
2
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