Question

a=√200 by using prime factorization method​

Answer 1

Answer:

$10\sqrt{2}$ is your answer

Step-by-step explanation:

Square root of a number can be simplified by prime factorising the number.

Prime factorisation involves expressing a number as a product of prime numbers.

(

200

has  2  and  5  as its prime factors.)

So,

$\sqrt{200} = \sqrt{2 * 2 * 2 * 5 *5 }$  

$\sqrt{200} = \sqrt{2^{2} * 2 * 5^{2}$

$= 2 * 5\sqrt{2}$

$= 10\sqrt{2}$

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Answer 2

Answer:

10√2 is the answer ...........