5+√3/√5-√3=1 /2a+3b√15
FIND A AND B
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Answer:
It is given that
5
−
3
5
+
3
=a+b
15
Simplify the term on the L.H.S. by rationalizing,
5
−
3
5
+
3
×
5
+
3
5
+
3
=
(
5
)
2
−(
3
)
2
(
5
+
3
)
2
=
5−3
(
5
)
2
+(
3
)
2
+2
5
3
=
2
5+3+2
15
=
2
8+2
15
=4+
15
Now,
4+
15
=a+b
15
⇒a=4 and b=1
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