Question

find the square root of 11025 by prime factorization method and give the steps

Answer 1

$\textbf{Given:}$

$\text{Number=11025}$

$\textbf{To find:}$

$\text{The square root of 11025}$

$\textbf{Solution:}$

$\text{First we apply division method to find the factors of 11025}$

$\begin{array}{r|l}3&1105\\\cline{2-2}3&3675\\\cline{2-2}5&1225\\\cline{2-2}5&245\\\cline{2-2}7&49\\\cline{2-2}7&7\\\cline{2-2}&1\\\cline{2-2}\end{array}$

$11025=3^2{\times}5^2{\times}7^2$

$\implies\sqrt{11025}=3{\times}5{\times}7$

$\implies\bf\sqrt{11025}=105$

$\therefore\textbf{Square root of 11025 is 105}$

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

https://brainly.in/question/1656193

Answer 2

Step-by-step explanation:

I hope it's help you

thank you