Question

How do you find the square root for 9cm ​

Answer 1

Square Root of 9:-

`\rightarrow`Square root of 9 is a whole number that is multiplied by itself to get the original number. The actual value of square root of 9 is 3.

√9 = ±3

`\rightarrow`If we square +3 or -3, the resulting value will be equal to 9.

`\sf{(+3)^2 = 9}`

`\sf{(-3)^2 = 9}`

How to find?:-

`\rightarrow`Number 9 is an odd number and not a prime number. Prime numbers have only two factors, 1 and the number itself. But as we know, 9 have three multiple factors, 1, 3 and 9 itself. Thus, we can write the number 9 in the form of multiple as;

• 
  `\sf{1 × 9 = 9}`
• 
  `\sf{3 × 3 = 9}`
• 
  `\sf{9 × 1 = 9}`

`\rightarrow`You know that number 9 is a multiple of 3 or when 3 is multiplied by itself, we get the number 9. Therefore, we can write the square root of 9 as;

➾
`\sf{√(9)}`

➾
`\sf{√(3×3)}`

➾
`\sf{√(3^2)}`

`\rightarrow`The square cancels the square root of a number. Therefore, if we cancel the square root with a square in the above expression, we get,

➾
`\sf{√(9)}` = ±3

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Hope it helps you:)