Question

find the square root of 4225 by prime factorisation

Answer 1

Answer:

$\sqrt{4225}=65$

Explanation:

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4225

= 5×845

= 5×5×169

= 5×5×13×13

= 5×5×13×13

___________________

Now,

$\sqrt{4225}$

= $\sqrt{5\times5\times13\times13}$

= $\sqrt{(5\times5)(13\times13)}$

= $5\times13$

= $65$

Therefore,

$\sqrt{4225}$ = $65$

••••

Answer 2

Answer:

4225

5 x 845

=5 x 5 X 169

= 5 x 5 x 13 x 13

= 5 x 5 x 13 x 13