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Square Root of 50

The square root of 50 is 7.07106781 (rounded to 8 decimal places).

Answer

The square root of 50 is 7.07106781 (rounded to 8 decimal places).

It is not a perfect square, so the root is irrational. In simplest radical form, √50 = 5√2, because 50 = 25 × 2.

Estimate it by hand

50 lies between the perfect squares 49 (7²) and 64 (8²), so √50 is between 7 and 8. Our answer 7.07106781 fits that range.

How to find √50 on a scientific calculator

  1. Press the √ key (or type sqrt().
  2. Enter 50.
  3. Press = to get 7.07106781.

You can check it by squaring the result: 7.07106781² ≈ 50.

Quick results

√50= 7.07106781
7.07106781²= 50
∛50= 3.684031

Square roots near 50

NumberSquare rootNote
285.291503
295.385165
305.477226
366perfect square
406.324555
497perfect square
507.071068this page
648perfect square

Frequently Asked Questions

What is the square root of 50?

The square root of 50 is 7.07106781 (rounded to 8 decimal places).

Is 50 a perfect square?

No. The nearest perfect squares are 49 and 64.

Is the square root of 50 rational or irrational?

Irrational. Its decimal never ends or repeats.

What is the cube root of 50?

The cube root of 50 is about 3.684031.

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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