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What is the Square Root of 505?

The square root of 505 is 22.4722050542. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√505 = 22.4722050542
CalculatedNon-perfect squareIrrational
Exact form√505
Perfect squareNo
Number typeIrrational
Verification22.47220505422 ≈ 505

On this page

How the answer is calculated

We solve x2 = 505. The resulting value is x = 22.4722050542.

Verification: 22.47220505422 ≈ 505.

Simplified radical form

The square root of 505 in simplified radical form is √505.

There are no square factors that can be taken outside the radical, so √505 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal22484
Upper or equal23529

Nearby square roots

NumberSquare root
√50222.4053565024
√50322.427661492
√50422.4499443206
√50522.4722050542
√50622.4944437584
√50722.5166604984
√50822.5388553392

Number properties

Is 505 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√505 is irrational because 505 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 505.