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What is the Square Root of 8240?

The square root of 8240 is 90.7744457433. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√8240 = 90.7744457433
CalculatedNon-perfect squareIrrational
Exact form√8240
Perfect squareNo
Number typeIrrational
Verification90.77444574332 ≈ 8240

On this page

How the answer is calculated

We solve x2 = 8240. The resulting value is x = 90.7744457433.

Verification: 90.77444574332 ≈ 8240.

Simplified radical form

The square root of 8240 in simplified radical form is 4√515.

This is equivalent to √8240, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal908100
Upper or equal918281

Nearby square roots

NumberSquare root
√823790.7579197646
√823890.7634287585
√823990.768937418
√824090.7744457433
√824190.7799537343
√824290.7854613911
√824390.7909687139

Number properties

Is 8240 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√8240 is irrational because 8240 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 8240.