What is the Square Root of 1170?

The square root of 1170 is 34.205262753. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1170 = 34.205262753
CalculatedNon-perfect squareIrrational
Exact form√1170
Perfect squareNo
Number typeIrrational
Verification34.2052627532 ≈ 1170

On this page

How the answer is calculated

We solve x2 = 1170. The resulting value is x = 34.205262753.

Verification: 34.2052627532 ≈ 1170.

Simplified radical form

The square root of 1170 in simplified radical form is 3√130.

This is equivalent to √1170, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal341156
Upper or equal351225

Nearby square roots

NumberSquare root
√116734.1613817051
√116834.1760149813
√116934.1906419946
√117034.205262753
√117134.2198772645
√117234.2344855372
√117334.2490875791

Number properties

Is 1170 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1170 is irrational because 1170 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 1170.