if x+ y √ xy show that √ x + √ y proposal √x-√y
Answers
Answered by
1
Step-by-step explanation:
Explanation:
As
a
x
+
b
y
varies as
√
x
y
(
a
x
+
b
y
)
=
k
√
x
y
, where
k
is a constant.
Squaring this we get
(
a
x
+
b
y
)
2
=
k
2
x
y
or
(
a
x
)
2
+
(
b
y
)
2
+
2
a
b
x
y
=
k
2
x
y
or
(
a
x
)
2
+
(
b
y
)
2
=
(
k
2
−
2
a
b
)
x
y
and as
k
,
a
,
b
are constant
k
2
−
2
a
b
is another constant
Hence
(
a
x
)
2
+
(
b
y
)
2
varies directly as
x
y
.
Answered by
0
Answer:
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