Question

square root of 3025 by prime factorization

Answer 1

prime factorization of 3025 is,
5 X 5 X 11 X 11
so,
${5}^{2} \times {11}^{2}$
so,
square root of 3025 is,
55.
hope this help......

Answer 2

Answer:

$\sqrt{3025}=55$

Step-by-step explanation:

Write 3025 into product of prime.

5| 3025

__________

5| 605

__________

11| 121

__________

******11

Now,

3025 = 5×5×11×11

$\sqrt{3025}=\sqrt{(5\times 5)\times (11 \times 11)}\\=5\times 11 = 55$

Therefore,

$\sqrt{3025}=55$

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