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What is the Square Root of 15825?

The square root of 15825 is 125.7974562541. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15825 = 125.7974562541
CalculatedNon-perfect squareIrrational
Exact form√15825
Perfect squareNo
Number typeIrrational
Verification125.79745625412 ≈ 15825

On this page

How the answer is calculated

We solve x2 = 15825. The resulting value is x = 125.7974562541.

Verification: 125.79745625412 ≈ 15825.

Simplified radical form

The square root of 15825 in simplified radical form is 5√633.

This is equivalent to √15825, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12515625
Upper or equal12615876

Nearby square roots

NumberSquare root
√15822125.7855317594
√15823125.7895067166
√15824125.7934815481
√15825125.7974562541
√15826125.8014308345
√15827125.8054052893
√15828125.8093796185

Number properties

Is 15825 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15825 is irrational because 15825 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 15825.