Question

find out square root 189225​

Answer 1

$\textbf{Given:}$

$\textsf{Number is 189225}$

$\textbf{To find:}$

$\textsf{The square root of 189225}$

$\textbf{Solution:}$

$\textsf{First we find out factors of 189225}$

$\begin{array}{r|l}5&189225\\\cline{2-2}5&37845\\\cline{2-2}3&7569\\\cline{2-2}3&2523\\\cline{2-2}29&841\\\cline{2-2}29&29\\\cline{2-2}&1\\\cline{2-2}\end{array}$

$\mathsf{189225=3^2{\times}5^2{\times}29^2}$

$\implies\mathsf{\sqrt{189225}=3{\times}5{\times}29}$

$\implies\mathsf{\sqrt{180225}=435}$

$\therefore\textbf{Square root of 189225 is 435}$

Find more:

1.Find the square root by long division method.

(i)17956 (ii) 11025 (iii) 6889 (iv) 1764

(v) 418609​

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2.Square root of 1849 by using division method

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