simplify the following 1/root 3+ root 2 -root 5
Answers
Answered by
0
Answer:
MATHS
avatar
Asked on December 26, 2019 by
Deepansha Patil
Find the simplest value of
2
+
3
+
5
2
6
.
Share
Study later
ANSWER
We will rationalize the denominator of the given expression
(
2
+
3
)+
5
2
6
and solve as follows:
(
2
+
3
)+
5
2
6
×
(
2
+
3
)−
5
(
2
+
3
)−
5
=
[(
2
+
3
)+
5
][(
2
+
3
)−
5
]
2
6
[(
2
+
3
)−
5
]
=
(
2
+
3
)
2
−(
5
)
2
2
6
[(
2
+
3
)−
5
]
(∵(a−b)(a+b)=a
2
−b
2
)
=
[(
2
)
2
+(
3
)
2
+2(
2
)(
3
)]−5
2
6
[(
2
+
3
)−
5
]
(∵(a+b)
2
=a
2
+b
2
+2ab)
=
(2+3+2
6
)−5
2
6
[(
2
+
3
)−
5
]
=
5+2
6
−5
2
6
[(
2
+
3
)−
5
]
=
2
6
2
6
[(
2
+
3
)−
5
]
=
2
+
3
−
5
Hence,
(
2
+
3
)+
5
2
6
=
2
+
Answered by
0
2 if answer plllllllllllll mark me
Similar questions