Question

Find out the square root of the following numbers by prime factorization method.
30625​

Answer 1

Step-by-step explanation:

5|30625=6125

5|6125=1225

5|1225=245

5|245=49

7|49=7

7|7=1

30625=5^2×5^2×7^2

√30625=√5^2×5^2×7^2

√30625=5×5×7=175

Answer 2

Answer:

30625|5=6125

6125|5=1225

1225|5=245

245|5=49

49|7=7

7|7=1

Therefore the square root of 30625=5×5×7

=25×7

=175

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