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What is the Square Root of 27480?

The square root of 27480 is 165.7709262808. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27480 = 165.7709262808
CalculatedNon-perfect squareIrrational
Exact form√27480
Perfect squareNo
Number typeIrrational
Verification165.77092628082 ≈ 27480

On this page

How the answer is calculated

We solve x2 = 27480. The resulting value is x = 165.7709262808.

Verification: 165.77092628082 ≈ 27480.

Simplified radical form

The square root of 27480 in simplified radical form is 2√6870.

This is equivalent to √27480, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27477165.7618774025
√27478165.7648937502
√27479165.7679100429
√27480165.7709262808
√27481165.7739424638
√27482165.776958592
√27483165.7799746652

Number properties

Is 27480 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27480 is irrational because 27480 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 27480.