Question

What is the square root of 225As I am new to thisPlease answer step by step in the easiest form possible

Answer 1

Given:

`225`

To Determine: The square root of the given number

Solution

Step 1: Express 225 as the product pf its prime factors of 225

`\begin{gathered} 225=3*3*5*5 \\ 225=3^2*5^2 \end{gathered}`

Step 2: Separate the factors into their own square root

`\begin{gathered} √(225)=√(3^2*5^2) \\ √(225)=√(3^2)*√(5^2) \end{gathered}`

Step 3: Solve the individual's squares

`\begin{gathered} √(225)=√(3^2)*√(5^2) \\ √(225)=3*5=15 \end{gathered}`

Hence, the square root of 225 is 15