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Square Root of 5

The square root of 5 is 2.23606798 (rounded to 8 decimal places).

Answer

The square root of 5 is 2.23606798 (rounded to 8 decimal places).

It is not a perfect square and has no square factor, so √5 is irrational and cannot be simplified.

Estimate it by hand

5 lies between the perfect squares 4 (2²) and 9 (3²), so √5 is between 2 and 3. Our answer 2.23606798 fits that range.

How to find √5 on a scientific calculator

  1. Press the √ key (or type sqrt().
  2. Enter 5.
  3. Press = to get 2.23606798.

You can check it by squaring the result: 2.23606798² ≈ 5.

Quick results

√5= 2.23606798
2.23606798²= 5
∛5= 1.709976

Square roots near 5

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

Frequently Asked Questions

What is the square root of 5?

The square root of 5 is 2.23606798 (rounded to 8 decimal places).

Is 5 a perfect square?

No. The nearest perfect squares are 4 and 9.

Is the square root of 5 rational or irrational?

Irrational. Its decimal never ends or repeats.

What is the cube root of 5?

The cube root of 5 is about 1.709976.

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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