190
You visited us
190
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Addition and Subtraction of Surds
Find sum of t...
Question
Find sum of the following surds:
x
√
x
,
y
√
y
,
3
√
x
3
,
4
√
y
3
Open in App
Solution
The sum of the given surds can be determined as follows:
x
√
x
+
y
√
y
+
3
√
x
3
+
4
√
y
3
=
x
√
x
+
y
√
y
+
3
√
x
2
×
x
+
4
√
y
2
×
y
=
x
√
x
+
y
√
y
+
3
x
√
x
+
4
y
√
y
=
√
x
(
x
+
3
x
)
+
√
y
(
y
+
4
y
)
=
4
x
√
x
+
5
y
√
y
Hence,
x
√
x
+
y
√
y
+
3
√
x
3
+
4
√
y
3
=
4
x
√
x
+
5
y
√
y
.
Suggest Corrections
0
Similar questions
Q.
Find sum of the following surds:
x
√
y
,
2
x
√
y
,
4
x
√
y
.
Q.
Find sum of the following surds:
(
√
x
+
2
√
y
)
,
(
2
√
x
−
3
√
y
)
,
(
3
√
x
+
√
y
)
.
Q.
Find the sum of the following surds
(1)
(2)
(3)