Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 27072?

The square root of 27072 is 164.5357104096. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27072 = 164.5357104096
CalculatedNon-perfect squareIrrational
Exact form√27072
Perfect squareNo
Number typeIrrational
Verification164.53571040962 ≈ 27072

On this page

How the answer is calculated

We solve x2 = 27072. The resulting value is x = 164.5357104096.

Verification: 164.53571040962 ≈ 27072.

Simplified radical form

The square root of 27072 in simplified radical form is 24√47.

This is equivalent to √27072, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27069164.5265935951
√27070164.5296325894
√27071164.5326715276
√27072164.5357104096
√27073164.5387492356
√27074164.5417880054
√27075164.544826719

Number properties

Is 27072 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27072 is irrational because 27072 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 27072.