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Byju's Answer
Standard VIII
Mathematics
Finding Square Root through Prime Factorisation
Value of √392...
Question
Value of
3
√
392
×
3
√
448
is ______.
A
54
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B
56
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C
50
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D
52
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Solution
The correct option is
B
56
3
√
392
×
3
√
448
=
3
√
2
×
2
×
2
×
7
×
7
×
3
√
2
×
2
×
2
×
2
×
2
×
2
×
7
=
3
√
(
2
×
2
×
2
)
×
(
2
×
2
×
2
)
×
(
2
×
2
×
2
)
×
(
7
×
7
×
7
)
=
2
×
2
×
2
×
7
[
∵
3
√
p
×
3
√
q
=
3
√
p
q
]
=
56
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Similar questions
Q.
Value of
3
√
392
×
3
√
448
is ______.
Q.
The sum of the binomial coefficients in the expansion of
(
x
−
3
/
4
+
a
x
5
/
4
)
n
lies between
200
and
400
and the term independent of
x
equals
448
. The value of
a
is
Q.
Find the value of
x
in this equation :
392
x
=
−
196
.
Q.
what is the value of x =
x/square of 98=square root of 392/x
Q.
A number increased by 140% of it's original value becomes 392. Find the number
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