Find by prime factorization the square root of 9025
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Answer:
\sqrt{9025}=95
9025
=95
Step-by-step explanation:
We have ,
5|9025
5| 1805
19| 361
_
19
\begin{gathered}Now,\\ \sqrt{9025}\\=\sqrt{5\times 5\times 19\times 19}\\ < /p > < p > = 5 \times 19\\ < /p > < p > = 95 \end{gathered}
Now,
9025
=
5×5×19×19
</p><p>=5×19
</p><p>=95
Therefore,
\sqrt{9025}=95
9025
=95
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