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What is the Square Root of 29752?

The square root of 29752 is 172.4876807195. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29752 = 172.4876807195
CalculatedNon-perfect squareIrrational
Exact form√29752
Perfect squareNo
Number typeIrrational
Verification172.48768071952 ≈ 29752

On this page

How the answer is calculated

We solve x2 = 29752. The resulting value is x = 172.4876807195.

Verification: 172.48768071952 ≈ 29752.

Simplified radical form

The square root of 29752 in simplified radical form is 2√7438.

This is equivalent to √29752, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17329929

Nearby square roots

NumberSquare root
√29749172.4789842271
√29750172.4818831066
√29751172.4847819374
√29752172.4876807195
√29753172.4905794529
√29754172.4934781376
√29755172.4963767735

Number properties

Is 29752 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29752 is irrational because 29752 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 29752.