Please help me with a step by step explanation I'm so confused 55\sqrt{224x^3y^2\sqr

Question

Please help me with a step by step explanation I'm so confused

5
`5\sqrt{224x^3y^2\sqr`

Answer 1

Explanation:

1. Okay, so, let us start with the given expression: 5
`5√(224x^3y^2)`

2. First and foremost, we're going to simplify the square root: The square root of 224 can be simplified by simply factoring out the perfect square. In this case, the perfect square is 16, which is the square of 4. Therefore, we can rewrite this as, 224 as 16 * 14. The expression now becomes more simplified as:

`5[tex]5√(16 * 14x^3y^2)`[/tex]

3. Next, we're going to simplify the square root eve further: The square root of 16 is 4, so we can rewrite the expression as:
`20[tex]√(14x^3y^2)`.[/tex], which further simplifies to
`20[tex]√(14x^3y^2)`[/tex]

(As we move right along, you can see that our long equation is getting smaller)

This means that the simplified form of the expression is
`20[tex]√(14x^3y^2)`.[/tex]