What is the Square Root of 5795?

The square root of 5795 is 76.1248973727. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5795 = 76.1248973727
CalculatedNon-perfect squareIrrational
Exact form√5795
Perfect squareNo
Number typeIrrational
Verification76.12489737272 ≈ 5795

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How the answer is calculated

We solve x2 = 5795. The resulting value is x = 76.1248973727.

Verification: 76.12489737272 ≈ 5795.

Simplified radical form

The square root of 5795 in simplified radical form is √5795.

There are no square factors that can be taken outside the radical, so √5795 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal765776
Upper or equal775929

Nearby square roots

NumberSquare root
√579276.1051903618
√579376.1117599324
√579476.1183289359
√579576.1248973727
√579676.1314652427
√579776.1380325462
√579876.1445992832

Number properties

Is 5795 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5795 is irrational because 5795 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 5795.