Question

Find the square root of the number 19600 by using prime factorisation method.

please fast give me the answer.​

Answer 1

Answer:

The orange divisor(s) above are the prime factors of the number 19,600. If we put all of it together we have the factors 2 x 2 x 2 x 2 x 5 x 5 x 7 x 7 = 19,600. It can also be written in exponential form as 24 x 52 x 72.

Answer 2

Required Answers :-

• $\sf \large{ \sqrt{19600}}$

Now, we will do prime factorization of 19600

→ Prime Factorization of 19600 is 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7

$\sf{ \twoheadrightarrow \: \sqrt{ {2}^{4} \times {5}^{2} \times {7}^{2}}}$

$\sf{ \twoheadrightarrow \: 2 \times 5 \times 7}$

$\large \sf{ \boxed {\red{ = 70.}}} \pink \star$

❝ Square root of 19600 is 70. ❞

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