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What is the Square Root of 5948?

The square root of 5948 is 77.1232779386. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5948 = 77.1232779386
CalculatedNon-perfect squareIrrational
Exact form√5948
Perfect squareNo
Number typeIrrational
Verification77.12327793862 ≈ 5948

On this page

How the answer is calculated

We solve x2 = 5948. The resulting value is x = 77.1232779386.

Verification: 77.12327793862 ≈ 5948.

Simplified radical form

The square root of 5948 in simplified radical form is 2√1487.

This is equivalent to √5948, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal775929
Upper or equal786084

Nearby square roots

NumberSquare root
√594577.1038261048
√594677.1103105946
√594777.1167945392
√594877.1232779386
√594977.1297607931
√595077.1362431027
√595177.1427248676

Number properties

Is 5948 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5948 is irrational because 5948 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 5948.