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What is the Square Root of 1601?

The square root of 1601 is 40.0124980475. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1601 = 40.0124980475
CalculatedNon-perfect squareIrrational
Exact form√1601
Perfect squareNo
Number typeIrrational
Verification40.01249804752 ≈ 1601

On this page

How the answer is calculated

We solve x2 = 1601. The resulting value is x = 40.0124980475.

Verification: 40.01249804752 ≈ 1601.

Simplified radical form

The square root of 1601 in simplified radical form is √1601.

There are no square factors that can be taken outside the radical, so √1601 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal401600
Upper or equal411681

Nearby square roots

NumberSquare root
√159839.9749921826
√159939.9874980463
√160040
√160140.0124980475
√160240.0249921924
√160340.0374824383
√160440.049968789

Number properties

Is 1601 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1601 is irrational because 1601 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 1601.