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What is the Square Root of 1470?

The square root of 1470 is 38.3405790254. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1470 = 38.3405790254
CalculatedNon-perfect squareIrrational
Exact form√1470
Perfect squareNo
Number typeIrrational
Verification38.34057902542 ≈ 1470

On this page

How the answer is calculated

We solve x2 = 1470. The resulting value is x = 38.3405790254.

Verification: 38.34057902542 ≈ 1470.

Simplified radical form

The square root of 1470 in simplified radical form is 7√30.

This is equivalent to √1470, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal381444
Upper or equal391521

Nearby square roots

NumberSquare root
√146738.3014360044
√146838.3144881213
√146938.3275357935
√147038.3405790254
√147138.3536178215
√147238.3666521865
√147338.3796821248

Number properties

Is 1470 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1470 is irrational because 1470 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 1470.