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What is the Square Root of 1530?

The square root of 1530 is 39.1152144312. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1530 = 39.1152144312
CalculatedNon-perfect squareIrrational
Exact form√1530
Perfect squareNo
Number typeIrrational
Verification39.11521443122 ≈ 1530

On this page

How the answer is calculated

We solve x2 = 1530. The resulting value is x = 39.1152144312.

Verification: 39.11521443122 ≈ 1530.

Simplified radical form

The square root of 1530 in simplified radical form is 3√170.

This is equivalent to √1530, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal391521
Upper or equal401600

Nearby square roots

NumberSquare root
√152739.0768473652
√152839.0896405714
√152939.102429592
√153039.1152144312
√153139.127995093
√153239.1407715816
√153339.1535439009

Number properties

Is 1530 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1530 is irrational because 1530 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 1530.