find square root of following binomial surd a+root a^2-b^2
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Square root of
6+
35
6+
35
=
a
+
b
Squaring of both sides
(
6+
35
)
2
=(
a
+
b
)
2
6+
35
=a+b+2
ab
1×2
(6+
35
)×2
2
12+2
35
∴a+b=12
2
ab
=2
35
=2
7×5
So
2
(
7
+
5
)
2
Answer
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