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What is the Square Root of 29648?

The square root of 29648 is 172.1859460002. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29648 = 172.1859460002
CalculatedNon-perfect squareIrrational
Exact form√29648
Perfect squareNo
Number typeIrrational
Verification172.18594600022 ≈ 29648

On this page

How the answer is calculated

We solve x2 = 29648. The resulting value is x = 172.1859460002.

Verification: 172.18594600022 ≈ 29648.

Simplified radical form

The square root of 29648 in simplified radical form is 4√1853.

This is equivalent to √29648, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17329929

Nearby square roots

NumberSquare root
√29645172.1772342675
√29646172.1801382274
√29647172.1830421383
√29648172.1859460002
√29649172.1888498132
√29650172.1917535772
√29651172.1946572923

Number properties

Is 29648 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29648 is irrational because 29648 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 29648.