Simplify √(18). \\ A; 2√(3) \\B; 2√(9) \\C; 3√(2) \\D; 9√(2) \\

Question

Simplify
`√(18). \\`


`A; 2√(3) \\B; 2√(9) \\C; 3√(2) \\D; 9√(2) \\`

Answer 1

The answer is D because that’s the square root

Answer 2

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Answer:
`\textsf{Option C, 3}√(2)`

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Given:
`√(18)`

Find:
`\textsf{Simplify the expression}`

Solution: In order to get a number outside of the square root there must be two of them inside of the square root. The first step that we need to take is to break down the number 18 into it's lowest factors and then take out the numbers can be taken out.

Break down the number 18

• 
  `√(18)`

• 
  `\sqrt{\textsf{2 * 3 * 3}}`

• 
  `\sqrt{\textsf{2 * 3}^2}`

Take 3 outside of the square root

• 
  `\sqrt{\textsf{2 * 3}^2}`

• 
  `\textsf{3}\sqrt{\textsf{2}`

Therefore, the option that would best match the results that were solved for is option C,
`\textsf{3}\sqrt{\textsf{2}`