Question

square root by prime factorisation of 9025

Answer 1

Hey mate..
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Divide the number into prime factors:--

9025 = 5 * 5 * 19 * 19

Now, we take square root for the numbers i.e.

√(9025) = √(5 * 5 * 19 * 19 )

= 5 * 19

Thus , √(9025) = 95

Answer 2

L.c m. Of 9025 is = 5×5×19×19
Then we will square root all these factors under one squre root
Then 5× 19 will be the answer
= 19× 5 = 95