(√2 + √3)/{(3√2) - (2√3)} = a-b√6 find a and b
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52
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Answered by
5
Answer:
Given,
33−9
3
6+2
3
=a+b
3
squaring on both sides, we get,
(a+b
3
)
2
=
33−19
3
6+2
3
×
33+19
3
33+19
3
=
6
312+180
3
=52+30
3
⇒a+b
3
=
52+30
3
=
52+2
15×15×3
=
27
+
25
=3
3
+5
∴a=5,b=3
a+b=8
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