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Test Index
UPSC CDS Square, Roots and Surds Questions
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© examsnet.com
Question : 2
Total: 22
What is the square root of
16
+
6
√
7
?
[2019 CDS-II]
4
+
√
7
4
−
√
7
3
+
√
7
3
−
√
7
Validate
Solution:
(
a
+
b
)
2
=
16
+
6
√
7
⇒
2
a
b
=
6
√
7
⇒
a
b
=
3
√
7
⇒
a
=
3
,
b
=
√
7
∴
(
16
+
6
√
7
)
=
(
9
+
7
+
6
√
7
)
=
(
3
2
+
(
√
7
)
2
+
2
×
3
√
7
)
=
(
√
7
+
3
)
2
∴
Square root of
(
16
+
6
√
7
)
is
(
3
+
√
7
)
© examsnet.com
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