find the square root of 8888.
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In order to simplify square root of 8888 by using prime factorization, you follow these steps:
Find prime factors of 8888
Group the factors in 2 in such a way that each number of the group is same
Take one factor from each group
Find the product of the factors obtained in step 3. This product is the required square root
Using the steps above, here is the math showing you how to simplify square root of 8888.
8888 = 22211101
⇒ 8888 = 22211111011
Therefore, √8888 = √(22211111011)
√8888 = √(22) √(211111011)
= 2 √2222
Then, the square root of 8888 simplified can be expressed as :
= 2 √2222
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