simplify 3+2√5/3-2√5 - 3-2√5/3+2√5
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2
5
−3
3
5
+
3
=a−b
15
Easy
Solution
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We have,
2
5
−3
3
5
+
3
=a−b
15
On rationalize and we get,
2
5
−3
3
5
+
3
×
2
5
+3
3
2
5
+3
3
=a−b
15
⇒
(2
5
)
2
−(3
3
)
2
10+3
15
+2
15
+9
=a−b
15
⇒
20−9
19+5
15
=a−b
15
⇒
11
19+5
15
=a−b
15
⇒
11
19
+
11
5
15
=a−b
15
Comparing that, and we get,
a=
11
19
and b=−
11
5
Hence, this is the answer
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