Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 5004?

The square root of 5004 is 70.7389567353. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5004 = 70.7389567353
CalculatedNon-perfect squareIrrational
Exact form√5004
Perfect squareNo
Number typeIrrational
Verification70.73895673532 ≈ 5004

On this page

How the answer is calculated

We solve x2 = 5004. The resulting value is x = 70.7389567353.

Verification: 70.73895673532 ≈ 5004.

Simplified radical form

The square root of 5004 in simplified radical form is 6√139.

This is equivalent to √5004, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal704900
Upper or equal715041

Nearby square roots

NumberSquare root
√500170.7177488329
√500270.7248188403
√500370.7318881411
√500470.7389567353
√500570.7460246233
√500670.7530918052
√500770.7601582813

Number properties

Is 5004 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5004 is irrational because 5004 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 5004.