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Square Root of 10

The square root of 10 is 3.16227766 (rounded to 8 decimal places).

Answer

The square root of 10 is 3.16227766 (rounded to 8 decimal places).

It is not a perfect square and has no square factor, so √10 is irrational and cannot be simplified.

Estimate it by hand

10 lies between the perfect squares 9 (3²) and 16 (4²), so √10 is between 3 and 4. Our answer 3.16227766 fits that range.

How to find √10 on a scientific calculator

  1. Press the √ key (or type sqrt().
  2. Enter 10.
  3. Press = to get 3.16227766.

You can check it by squaring the result: 3.16227766² ≈ 10.

Quick results

√10= 3.16227766
3.16227766²= 10
∛10= 2.154435

Square roots near 10

NumberSquare rootNote
62.44949
72.645751
82.828427
93perfect square
103.162278this page
113.316625
123.464102
133.605551

Frequently Asked Questions

What is the square root of 10?

The square root of 10 is 3.16227766 (rounded to 8 decimal places).

Is 10 a perfect square?

No. The nearest perfect squares are 9 and 16.

Is the square root of 10 rational or irrational?

Irrational. Its decimal never ends or repeats.

What is the cube root of 10?

The cube root of 10 is about 2.154435.

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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