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What is the Square Root of 5025?

The square root of 5025 is 70.8872343938. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5025 = 70.8872343938
CalculatedNon-perfect squareIrrational
Exact form√5025
Perfect squareNo
Number typeIrrational
Verification70.88723439382 ≈ 5025

On this page

How the answer is calculated

We solve x2 = 5025. The resulting value is x = 70.8872343938.

Verification: 70.88723439382 ≈ 5025.

Simplified radical form

The square root of 5025 in simplified radical form is 5√201.

This is equivalent to √5025, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal704900
Upper or equal715041

Nearby square roots

NumberSquare root
√502270.8660708661
√502370.8731260775
√502470.8801805867
√502570.8872343938
√502670.8942874991
√502770.9013399027
√502870.9083916049

Number properties

Is 5025 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5025 is irrational because 5025 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 5025.