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Square Root of 7

The square root of 7 is 2.64575131 (rounded to 8 decimal places).

Answer

The square root of 7 is 2.64575131 (rounded to 8 decimal places).

It is not a perfect square and has no square factor, so √7 is irrational and cannot be simplified.

Estimate it by hand

7 lies between the perfect squares 4 (2²) and 9 (3²), so √7 is between 2 and 3. Our answer 2.64575131 fits that range.

How to find √7 on a scientific calculator

  1. Press the √ key (or type sqrt().
  2. Enter 7.
  3. Press = to get 2.64575131.

You can check it by squaring the result: 2.64575131² ≈ 7.

Quick results

√7= 2.64575131
2.64575131²= 7
∛7= 1.912931

Square roots near 7

NumberSquare rootNote
31.732051
42perfect square
52.236068
62.44949
72.645751this page
82.828427
93perfect square
103.162278

Frequently Asked Questions

What is the square root of 7?

The square root of 7 is 2.64575131 (rounded to 8 decimal places).

Is 7 a perfect square?

No. The nearest perfect squares are 4 and 9.

Is the square root of 7 rational or irrational?

Irrational. Its decimal never ends or repeats.

What is the cube root of 7?

The cube root of 7 is about 1.912931.

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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