(5 + sqrt(3))/(7 - 4sqrt(3)) + (7 + 4sqrt(3))/(z + 4sqrt(3))
Answers
Answered by
0
Step-by-step explanation:
7+4
3
5+2
3
=a+b
3
Since rationalization of
c+
d
a+
b
=
c+
d
a+
b
×
c−
d
c−
d
Taking L.H.S.
By rationalization,
7+4
3
5+2
3
=
7+4
3
5+2
3
×
7−4
3
7−4
3
Since, {(a+b)(a−b)=a
2
−b
2
}
=
[(7)
2
−(4
3
)
2
]
(5+2
3
)×(7−4
3
)
=
49−16
3
3
35+14
3
−20
3
−8
3
3
=
49−48
35−
3
(14−8)−24
=
1
35−
3
(6)−24
=11−6
3
Hence, by comparing a = 11 & b = -6.
Similar questions