Question

Where is √12 located on a number line?

Answer 1

• Halfway between 3 and 4 on the number line.

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We need to find the location of point
`√(12)` on the number line.

It is an irrational number.

First, find the perfect squares close to 12. They are 3² = 9 and 4² = 16.

Since 9 < 12 < 16 and 12 - 9 = 3, 16 - 12 = 4 the distance between 12 and 9 or 16 close to each other.

Therefore,

• 
  `9 < 12 < 16\ implies \ √(9) < √(12) < √(16) \implies \ 3 < √(12) < 4`

So it is located approximately halfway between 3 and 4 on the number line.