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Square Root of 11

The square root of 11 is 3.31662479 (rounded to 8 decimal places).

Answer

The square root of 11 is 3.31662479 (rounded to 8 decimal places).

It is not a perfect square and has no square factor, so √11 is irrational and cannot be simplified.

Estimate it by hand

11 lies between the perfect squares 9 (3²) and 16 (4²), so √11 is between 3 and 4. Our answer 3.31662479 fits that range.

How to find √11 on a scientific calculator

  1. Press the √ key (or type sqrt().
  2. Enter 11.
  3. Press = to get 3.31662479.

You can check it by squaring the result: 3.31662479² ≈ 11.

Quick results

√11= 3.31662479
3.31662479²= 11
∛11= 2.22398

Square roots near 11

NumberSquare rootNote
72.645751
82.828427
93perfect square
103.162278
113.316625this page
123.464102
133.605551
143.741657

Frequently Asked Questions

What is the square root of 11?

The square root of 11 is 3.31662479 (rounded to 8 decimal places).

Is 11 a perfect square?

No. The nearest perfect squares are 9 and 16.

Is the square root of 11 rational or irrational?

Irrational. Its decimal never ends or repeats.

What is the cube root of 11?

The cube root of 11 is about 2.22398.

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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