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Square Root of 3

The square root of 3 is 1.73205081 (rounded to 8 decimal places).

Answer

The square root of 3 is 1.73205081 (rounded to 8 decimal places).

It is not a perfect square and has no square factor, so √3 is irrational and cannot be simplified.

Estimate it by hand

3 lies between the perfect squares 1 (1²) and 4 (2²), so √3 is between 1 and 2. Our answer 1.73205081 fits that range.

How to find √3 on a scientific calculator

  1. Press the √ key (or type sqrt().
  2. Enter 3.
  3. Press = to get 1.73205081.

You can check it by squaring the result: 1.73205081² ≈ 3.

Quick results

√3= 1.73205081
1.73205081²= 3
∛3= 1.44225

Square roots near 3

NumberSquare rootNote
21.414214
31.732051this page
42perfect square
52.236068
62.44949
72.645751
82.828427
93perfect square

Frequently Asked Questions

What is the square root of 3?

The square root of 3 is 1.73205081 (rounded to 8 decimal places).

Is 3 a perfect square?

No. The nearest perfect squares are 1 and 4.

Is the square root of 3 rational or irrational?

Irrational. Its decimal never ends or repeats.

What is the cube root of 3?

The cube root of 3 is about 1.44225.

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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