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What is the Square Root of 5742?

The square root of 5742 is 75.7759856419. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5742 = 75.7759856419
CalculatedNon-perfect squareIrrational
Exact form√5742
Perfect squareNo
Number typeIrrational
Verification75.77598564192 ≈ 5742

On this page

How the answer is calculated

We solve x2 = 5742. The resulting value is x = 75.7759856419.

Verification: 75.77598564192 ≈ 5742.

Simplified radical form

The square root of 5742 in simplified radical form is 3√638.

This is equivalent to √5742, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal755625
Upper or equal765776

Nearby square roots

NumberSquare root
√573975.7561878661
√574075.7627876995
√574175.7693869581
√574275.7759856419
√574375.7825837511
√574475.789181286
√574575.7957782465

Number properties

Is 5742 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5742 is irrational because 5742 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 5742.