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What is the Square Root of 1350?

The square root of 1350 is 36.7423461417. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1350 = 36.7423461417
CalculatedNon-perfect squareIrrational
Exact form√1350
Perfect squareNo
Number typeIrrational
Verification36.74234614172 ≈ 1350

On this page

How the answer is calculated

We solve x2 = 1350. The resulting value is x = 36.7423461417.

Verification: 36.74234614172 ≈ 1350.

Simplified radical form

The square root of 1350 in simplified radical form is 15√6.

This is equivalent to √1350, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal361296
Upper or equal371369

Nearby square roots

NumberSquare root
√134736.701498607
√134836.7151195014
√134936.7287353444
√135036.7423461417
√135136.755951899
√135236.7695526217
√135336.7831483155

Number properties

Is 1350 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1350 is irrational because 1350 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 1350.