Solve using method of prime factorization:

$8100$ = ____.

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Detailed Solution

Using method of prime factorization,

8100 = 90.

The given number is 8100.
Finding the prime factorization of 8100.
Table

Description automatically generated

Therefore,

8100 = 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5.

Now, making pair of the prime factors we get,

8100 = 2 × 2 ¯ × 3 × 3 ¯ × 3 × 3 ¯ × 5 × 5 ¯

Select one factor from each pair and do multiplication.
So,

8100 = 2 × 3 × 3 × 5 = 90.

Thus, the square root of 8100 is 90.

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