Question

Express in simplest radical form. 48

Answer 1

Answer: 4
`√(3\\)`

Step-by-step explanation:

It is because to get rid of radical of 48, because you factor 48 and it comes out to be 12 and 4, factor of 4 is 2 x 2. Factor of 12 is 6 x 2. Simplify the 6 to

3 x 2. You find the pair and the ones that have a pare become one and go outside of the radical sign on the left. 2 has 2 pairs so it is only 2 x 2 = 4. So 4 goes outside of the radical sign. Then the number that is alone with no pair is 3 so you put the number 3 inside the radical sign.

4
`√(3)` is your answer.

Hope this helps, sorry if not...

Answer 2

The simplest radical form of 48 is 4√3.

Step-by-step explanation:

Prime factorization: Prime factorize 48: 48 = 2^4 * 3.

Factor out the highest perfect square: Identify the highest perfect square factor, which is 2^4.

Extract the square root: Take the square root of the highest perfect square: √(2^4) = 2^2.

Combine with remaining factors: Combine the extracted square root with the remaining prime factor: 2^2 * 3 = 4 * 3.

Simplify: The simplified radical form becomes 4√3.

Therefore, 48 expressed in its simplest radical form is 4√3.