What is the Square Root of 774?

The square root of 774 is 27.8208554865. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√774 = 27.8208554865
CalculatedNon-perfect squareIrrational
Exact form√774
Perfect squareNo
Number typeIrrational
Verification27.82085548652 ≈ 774

On this page

How the answer is calculated

We solve x2 = 774. The resulting value is x = 27.8208554865.

Verification: 27.82085548652 ≈ 774.

Simplified radical form

The square root of 774 in simplified radical form is 3√86.

This is equivalent to √774, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal27729
Upper or equal28784

Nearby square roots

NumberSquare root
√77127.7668867538
√77227.7848879789
√77327.8028775489
√77427.8208554865
√77527.8388218142
√77627.8567765544
√77727.8747197295

Number properties

Is 774 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√774 is irrational because 774 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 774.