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Byju's Answer
Standard VIII
Mathematics
Finding Square Root through Prime Factorisation
Find the squa...
Question
Find the square root of
1296
by Prime Factorization
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Solution
Resolving
1296
into prime factors, we get
$1296
=
(
2
\times
2
)
\times
(
2
\times
2
)
\times
(
3
\times
3
)
\times
(
3
\times
3
)$
So, square root of $1296=2\times2\times 3\times 3=36$
So, square root of $12961296=(2×2)×(2×2)×(3×3)×(3×3)
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