Question

Как разложить корень из 272? к примеру корень из 320=8 корней из 5

Answer 1

√ 272 = √ ( 16 * 17 ) = 4 √ 17 

Answer 2

Solving the Square Root of 272

To find the square root of 272, we can use the following approach:

First, let's express 272 as a product of its prime factors to simplify the square root calculation.

Prime Factorization of 272

The prime factorization of 272 is as follows: - 272 = 2 * 2 * 2 * 2 * 17

Now, we can simplify the square root of 272 using the prime factorization.

Simplifying the Square Root of 272

The square root of 272 can be simplified as follows: - √272 = √(2 * 2 * 2 * 2 * 17) - √272 = 2 * 2 * √17 - √272 = 4√17

Therefore, the square root of 272 is 4√17.

This approach breaks down the number 272 into its prime factors, making it easier to simplify the square root.