Question

4624 square root by prime factorization

Answer 1

therefore, square root of 4624 is 68 i.e 2x2x17

Answer 2

$\sqrt{4624}=68$

Step-by-step explanation:

To find : 4624 square root by prime factorization ?

Solution :

We factor the number 4624,

2 | 4624

2 | 2312

2 | 1156

2 | 578

17 | 289

17 | 17

   | 1

i.e. $4624=2\times 2\times 2\times 2\times 17\times 17$

$4624=2^2\times 2^2\times 17^2$

$4624=(2\times 2\times 17)^2$

$4624=(68)^2$

Taking root both side,

$\sqrt{4624}=68$

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