find the square root of 11025 by prime factorization
Answers
Answer:
To find:
\text{The square root of 11025}The square root of 11025
\textbf{Solution:}Solution:
\text{First we apply division method to find the factors of 11025}First we apply division method to find the factors of 11025
\begin{gathered}\begin{array}{r|l}3&1105\\\cline{2-2}3&3675\\\cline{2-2}5&1225\\\cline{2-2}5&245\\\cline{2-2}7&49\\\cline{2-2}7&7\\\cline{2-2}&1\\\cline{2-2}\end{array}\end{gathered}
3
\cline2−23
\cline2−25
\cline2−25
\cline2−27
\cline2−27
\cline2−2
\cline2−2
1105
3675
1225
245
49
7
1
11025=3^2{\times}5^2{\times}7^211025=3
2
×5
2
×7
2
\implies\sqrt{11025}=3{\times}5{\times}7⟹
11025
=3×5×7
\implies\bf\sqrt{11025}=105⟹
11025
=105
\therefore\textbf{Square root of 11025 is 105}∴Square root of 11025 is 105
Find more:
1.Find the square root by long division method.
(i)17956 (ii) 11025 (iii) 6889 (iv) 1764
(v) 418609
https://brainly.in/question/14520335
2.Square root of 1849 by using division method
Answer:
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