simplify√7+2√6-√7-2√6
=
Answers
Answered by
2
Answer:
Squaring the given expression we get:
(
7+2
6
−
7−2
6
)
2
=(
7+2
6
)
2
+(
7−2
6
)
2
−(2×(
7+2
6
)×(
7−2
6
)){∵(a−b)
2
=(a
2
+b
2
−2ab)}
=7+2
6
+7−2
6
−(2×(
(7+2
6
)(7−2
6
)
))
=14−(2×(
(7)
2
−(2
6
)
2
)){∵(a−b)(a+b)=a
2
−b
2
}
=14−(2×(
49−(4×6)
))
=14−(2×(
49−24
))
=14−(2×
25
)
=14−(2×5)
=14−10
=4
Now if (
7+2
6
−
7−2
6
)
2
=4, then we have:
(
7+2
6
−
7−2
6
)
2
=4
⇒
7+2
6
−
7−2
6
=
4
⇒
7+2
6
−
7−2
6
=2
Hence,
7+2
6
−
7−2
6
=2
Answered by
89
Answer:
ans=2
I hope it helps
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