Solve using method of prime factorization:

$11025 =$ [[1]].

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Detailed Solution

Using method of prime factorization,

11025 = 105.

The given number is 11025.
The prime factorization of 11025 is
Question Image

The prime factorization of 11025 is,

11025 = 3 × 3 × 5 × 5 × 7 × 7

Making pair the prime factors, we get,

11025 = 3 × 3 ¯ × 5 × 5 ¯ × 7 × 7 ¯ .

Now, taking the product of prime factors, choosing one factor out of every pair, we get,

11025 = 3 × 5 × 7 = 105.

Thus, the square root of 11025 is 105.

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