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Byju's Answer
Standard IX
Mathematics
Surds
√2×√3 can be ...
Question
n
√
2
×
n
√
3
c
a
n
b
e
e
x
p
r
e
s
s
e
d
a
s
n
√
2
+
3
A
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B
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Solution
The correct option is
B
n
√
2
×
n
√
3
=
n
√
2
×
3
∵
(
n
√
a
×
n
√
b
=
n
√
a
b
)
n
√
2
×
n
√
3
=
n
√
6
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0
Similar questions
Q.
If
lim
n
→
∞
(
3
1
⋅
2
⋅
4
+
4
2
⋅
3
⋅
5
+
5
3
⋅
4
⋅
6
+
⋯
+
n
+
2
n
(
n
+
1
)
(
n
+
3
)
)
can be expressed as rational in the lowest form
m
n
where
m
,
n
∈
N
,
then the value of
(
m
+
n
)
is
Q.
n
3
can be expressed as a sum of n consecutive odd numbers.
Q.
Assertion :
(
√
2
−
1
)
n
can be expressed as
√
N
−
√
N
−
1
for
∀
N
>
1
and
n
∈
N
. Reason:
(
√
2
−
1
)
n
can be written in the form
α
+
β
√
2
∀
,
α
,
β
are integers & n is a positive integer.
Q.
Square of any odd number n can be expressed as sum of two consecutive numbers as
n
2
=
n
2
−
1
2
+
n
2
+
1
2
.
Q.
Simplify the given algebraic expression:
n
2
(
n
−
2
)
+
2
n
3
(
n
+
3
)
−
6
n
(
n
−
4
)
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