Question

square root of 108241

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Answer 1

$\underline{\bold{Answer}}$

329

$\huge\bold{explanation}$

Let solve by Prime factorisation method to find the square root of 108241.

$\begin{array}{r | l} 7 & 108241 \\ \cline{2-2} 7 & 15463 \\ \cline{2-2} 47 & 2209 \\ \cline{2-2} 47 & 47 \\ \cline{2-2} & 1 \\ \end{array}$

$\implies{\sqrt{7\times 7\times 47\times 47}}$

$\implies{7\times 47}$

$\sf{Let\:multiply\:7\:and\:47}$

$\implies{7\times 47 = 329}$

$\sf{therefore\:the\:square\:root\:of\:108241\:is\:329}$

We can find square root of a given number by two methods -

● First one is $\sf{long\:division\:method}$

● And second one is $\sf{prime\:factorisation\:method}$ as shown in the above question.

in prime factorisation we have to find the prime factors of the particular number and at last after grouping ( 2 pairs of particular number ) we have to multiply it with each other in order to find the square root.

Answer 2

Question:

Square root of 108241.

Answer:

• 329

Solution:

Now, we find the square root of 108241 by Prime Factorisation:-

$\begin{array}{r|1}7&108241\\ \cline{2-2}7&15463\\ \cline{2-2}47&2209\\ \cline{2-2}47&47\\ \cline{2-2}&1\end{array}$

$= \sqrt{7 \times 7 \times 47 \times 47}$

$= 7 \times 47$

$= 329$

So, the square root of 108241 is 329.