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Square Root of 20

The square root of 20 is 4.47213595 (rounded to 8 decimal places).

Answer

The square root of 20 is 4.47213595 (rounded to 8 decimal places).

It is not a perfect square, so the root is irrational. In simplest radical form, √20 = 2√5, because 20 = 4 × 5.

Estimate it by hand

20 lies between the perfect squares 16 (4²) and 25 (5²), so √20 is between 4 and 5. Our answer 4.47213595 fits that range.

How to find √20 on a scientific calculator

  1. Press the √ key (or type sqrt().
  2. Enter 20.
  3. Press = to get 4.47213595.

You can check it by squaring the result: 4.47213595² ≈ 20.

Quick results

√20= 4.47213595
4.47213595²= 20
∛20= 2.714418

Square roots near 20

NumberSquare rootNote
164perfect square
174.123106
184.242641
194.358899
204.472136this page
214.582576
224.690416
234.795832

Frequently Asked Questions

What is the square root of 20?

The square root of 20 is 4.47213595 (rounded to 8 decimal places).

Is 20 a perfect square?

No. The nearest perfect squares are 16 and 25.

Is the square root of 20 rational or irrational?

Irrational. Its decimal never ends or repeats.

What is the cube root of 20?

The cube root of 20 is about 2.714418.

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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