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What is the Square Root of 7240?

The square root of 7240 is 85.0881895447. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7240 = 85.0881895447
CalculatedNon-perfect squareIrrational
Exact form√7240
Perfect squareNo
Number typeIrrational
Verification85.08818954472 ≈ 7240

On this page

How the answer is calculated

We solve x2 = 7240. The resulting value is x = 85.0881895447.

Verification: 85.08818954472 ≈ 7240.

Simplified radical form

The square root of 7240 in simplified radical form is 2√1810.

This is equivalent to √7240, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal857225
Upper or equal867396

Nearby square roots

NumberSquare root
√723785.0705589496
√723885.0764362206
√723985.0823130856
√724085.0881895447
√724185.094065598
√724285.0999412456
√724385.1058164875

Number properties

Is 7240 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7240 is irrational because 7240 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 7240.