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What is the Square Root of 240?

The square root of 240 is 15.4919333848. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√240 = 15.4919333848
CalculatedNon-perfect squareIrrational
Exact form√240
Perfect squareNo
Number typeIrrational
Verification15.49193338482 ≈ 240

On this page

How the answer is calculated

We solve x2 = 240. The resulting value is x = 15.4919333848.

Verification: 15.49193338482 ≈ 240.

Simplified radical form

The square root of 240 in simplified radical form is 4√15.

This is equivalent to √240, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal15225
Upper or equal16256

Nearby square roots

NumberSquare root
√23715.3948043183
√23815.4272486205
√23915.4596248337
√24015.4919333848
√24115.5241746963
√24215.5563491861
√24315.5884572681

Number properties

Is 240 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√240 is irrational because 240 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 240.