What is the Square Root of 60?

The square root of 60 is 7.7459666924. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√60 = 7.7459666924
CalculatedNon-perfect squareIrrational
Exact form√60
Perfect squareNo
Number typeIrrational
Verification7.74596669242 ≈ 60

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How the answer is calculated

We solve x2 = 60. The resulting value is x = 7.7459666924.

Verification: 7.74596669242 ≈ 60.

Simplified radical form

The square root of 60 in simplified radical form is 2√15.

This is equivalent to √60, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal749
Upper or equal864

Nearby square roots

NumberSquare root
√577.5498344353
√587.6157731059
√597.6811457479
√607.7459666924
√617.8102496759
√627.874007874
√637.9372539332

Number properties

Is 60 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√60 is irrational because 60 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 60.