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What is the Square Root of 7250?

The square root of 7250 is 85.1469318296. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7250 = 85.1469318296
CalculatedNon-perfect squareIrrational
Exact form√7250
Perfect squareNo
Number typeIrrational
Verification85.14693182962 ≈ 7250

On this page

How the answer is calculated

We solve x2 = 7250. The resulting value is x = 85.1469318296.

Verification: 85.14693182962 ≈ 7250.

Simplified radical form

The square root of 7250 in simplified radical form is 5√290.

This is equivalent to √7250, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal857225
Upper or equal867396

Nearby square roots

NumberSquare root
√724785.1293134003
√724885.1351866152
√724985.1410594249
√725085.1469318296
√725185.1528038294
√725285.1586754242
√725385.1645466142

Number properties

Is 7250 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7250 is irrational because 7250 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 7250.