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What is the Square Root of 29636?

The square root of 29636 is 172.151096424. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29636 = 172.151096424
CalculatedNon-perfect squareIrrational
Exact form√29636
Perfect squareNo
Number typeIrrational
Verification172.1510964242 ≈ 29636

On this page

How the answer is calculated

We solve x2 = 29636. The resulting value is x = 172.151096424.

Verification: 172.1510964242 ≈ 29636.

Simplified radical form

The square root of 29636 in simplified radical form is 2√7409.

This is equivalent to √29636, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17329929

Nearby square roots

NumberSquare root
√29633172.1423829276
√29634172.1452874754
√29635172.1481919742
√29636172.151096424
√29637172.1540008248
√29638172.1569051766
√29639172.1598094794

Number properties

Is 29636 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29636 is irrational because 29636 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 29636.