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Square Root of 12

The square root of 12 is 3.46410162 (rounded to 8 decimal places).

Answer

The square root of 12 is 3.46410162 (rounded to 8 decimal places).

It is not a perfect square, so the root is irrational. In simplest radical form, √12 = 2√3, because 12 = 4 × 3.

Estimate it by hand

12 lies between the perfect squares 9 (3²) and 16 (4²), so √12 is between 3 and 4. Our answer 3.46410162 fits that range.

How to find √12 on a scientific calculator

  1. Press the √ key (or type sqrt().
  2. Enter 12.
  3. Press = to get 3.46410162.

You can check it by squaring the result: 3.46410162² ≈ 12.

Quick results

√12= 3.46410162
3.46410162²= 12
∛12= 2.289428

Square roots near 12

NumberSquare rootNote
82.828427
93perfect square
103.162278
113.316625
123.464102this page
133.605551
143.741657
153.872983

Frequently Asked Questions

What is the square root of 12?

The square root of 12 is 3.46410162 (rounded to 8 decimal places).

Is 12 a perfect square?

No. The nearest perfect squares are 9 and 16.

Is the square root of 12 rational or irrational?

Irrational. Its decimal never ends or repeats.

What is the cube root of 12?

The cube root of 12 is about 2.289428.

Is there an online scientific calculator I can use for this?

Yes. Use the calculator on this page, or open the full free Scientific Calculator with memory, history and keyboard support.

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