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UPSC CDS Math Square, Roots and Surds Questions
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© examsnet.com
Question : 9
Total: 22
What is the value of
√
5
−
√
3
√
5
+
√
3
−
√
5
+
√
3
√
5
−
√
3
?
[2018 CDS-I]
−
2
√
15
2
√
15
√
15
−
√
15
Validate
Solution:
√
5
−
√
3
√
5
+
√
3
−
√
5
+
√
3
√
5
−
√
3
=
(
√
5
−
√
3
)
2
−
(
√
5
+
√
3
)
2
(
√
5
+
√
3
)
(
√
5
−
√
3
)
=
5
+
3
−
2
√
5
√
3
−
5
−
3
−
2
√
5
√
3
5
−
3
=
−
4
√
15
2
=
−
2
√
15
© examsnet.com
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