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By factorizing 4624 we get,
$$4624=17\times 17\times 2\times 2\times 2\times 2$$
So, $$\sqrt{4624}=\sqrt{17\times 17\times 2\times 2\times 2\times 2}$$
or, $$\sqrt{4624}=17\times 2\times 2$$
or, $$\sqrt{4624}=68.$$
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