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What is the Square Root of 15?

The square root of 15 is 3.8729833462. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15 = 3.8729833462
CalculatedNon-perfect squareIrrational
Exact form√15
Perfect squareNo
Number typeIrrational
Verification3.87298334622 ≈ 15

On this page

How the answer is calculated

We solve x2 = 15. The resulting value is x = 3.8729833462.

Verification: 3.87298334622 ≈ 15.

Simplified radical form

The square root of 15 in simplified radical form is √15.

There are no square factors that can be taken outside the radical, so √15 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal39
Upper or equal416

Nearby square roots

NumberSquare root
√123.4641016151
√133.6055512755
√143.7416573868
√153.8729833462
√164
√174.1231056256
√184.2426406871

Number properties

Is 15 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15 is irrational because 15 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 15.