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Byju's Answer
Standard VII
Mathematics
In the square...
Question
In the square root of 1296, what would be the highest power of 3 ?
A
0.0
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B
4
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C
2
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D
1
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Solution
The correct option is
C
2
We can prime factorise to find the highest power of 3 in square root of 1296
So we get
1296
=
3
×
3
×
3
×
3
×
2
×
2
×
2
×
2
1296
=
3
4
×
2
4
√
1296
=
√
3
4
×
2
4
=
3
2
×
2
2
So the highest power of 3 is 2.
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Similar questions
Q.
Find the square root of the following numbers.
(i) 784
(ii) 225
(iii) 1296
(iv) 2025 (v) 256