Show that each of the following number are perfect square . In each case also find the number whose perfect square is the given number 841
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Step-by-step explanation:
(i)
1225
=
5
×
5
×
7
×
7
=
(
5
)
7
×
(
7
)
2
=
(
5
×
7
)
2
=
(
35
)
2
Hence it is a perfect square and it is the square of 35
(ii)
2601
=
3
×
3
×
17
×
17
=
(
3
)
2
×
(
17
)
2
=
(
3
×
17
)
2
=
(
51
)
2
Hence it is a perfect square and it is the squae of 56
(iii) 5929=
7
×
7
×
11
×
11
=
(
7
)
2
×
(
11
)
2
=
(
7
t
i
m
e
s
11
)
2
=
(
77
)
2
It is a perfect square and is the square of 77
(iv) 7056=
2
×
2
×
2
×
2
×
3
×
3
×
7
×
7
=
(
2
)
2
×
(
2
)
2
×
(
3
)
2
×
(
7
)
2
=
(
2
×
2
×
3
×
7
)
2
=
(
84
)
2
∴
It is a perfect square and is of the square of 84
(v) 8281 =
7
×
7
×
13
×
13
=
(
7
)
2
×
(
13
)
2
=
(
7
×
13
)
2
=
(
91
)
2
∴
It is a perfect square and is of the square of 91.
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