What is the Square Root of 1520?

The square root of 1520 is 38.9871773792. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1520 = 38.9871773792
CalculatedNon-perfect squareIrrational
Exact form√1520
Perfect squareNo
Number typeIrrational
Verification38.98717737922 ≈ 1520

On this page

How the answer is calculated

We solve x2 = 1520. The resulting value is x = 38.9871773792.

Verification: 38.98717737922 ≈ 1520.

Simplified radical form

The square root of 1520 in simplified radical form is 4√95.

This is equivalent to √1520, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal381444
Upper or equal391521

Nearby square roots

NumberSquare root
√151738.9486841883
√151838.9615194776
√151938.9743505398
√152038.9871773792
√152139
√152239.0128184063
√152339.0256326022

Number properties

Is 1520 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1520 is irrational because 1520 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 1520.