Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 29584?

The square root of 29584 is 172. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29584 = 172
ExactPerfect squareRational
Exact form172
Perfect squareYes
Number typeRational
Verification1722 ≈ 29584

On this page

How the answer is calculated

We solve x2 = 29584. The resulting value is x = 172.

Verification: 1722 ≈ 29584.

Simplified radical form

The square root of 29584 in simplified radical form is 172.

There are no square factors that can be taken outside the radical, so 172 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17229584

Nearby square roots

NumberSquare root
√29581171.9912788487
√29582171.9941859482
√29583171.9970929987
√29584172
√29585172.0029069522
√29586172.0058138552
√29587172.0087207092

Number properties

Is 29584 a perfect square?

Yes. Its square root is the whole number 172.

Is the square root rational or irrational?

172 is rational because it is a whole number.

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 29584.