Question

How to solve the square root of 250 as an exact value?

a) 5√10
b) 5√2
c) 25√2
d) 5√5

Answer 1

To solve the square root of 250 as an exact value, we need to express 250 as a product of its prime factors. The prime factorization of 250 is 2 * 5 * 5 * 5. Simplifying this expression, we get 10√5. Therefore, the answer is option c) 25√2.

Step-by-step explanation:

To solve the square root of 250 as an exact value, we need to express 250 as a product of its prime factors. To solve the square root of 250 as an exact value, we need to express 250 as a product of its prime factors. The prime factorization of 250 is 2 * 5 * 5 * 5. Simplifying this expression, we get 10√5. Therefore, the answer is option c) 25√2.

The prime factorization of 250 is 2 * 5 * 5 * 5. Since we are looking for the square root, we can pair the prime factors into twos, taking one factor from each pair. In this case, we have 2 * 5 * √5. Simplifying this expression, we get 10√5. Therefore, the answer is option c) 25√2.