Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 315?

The square root of 315 is 17.7482393493. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√315 = 17.7482393493
CalculatedNon-perfect squareIrrational
Exact form√315
Perfect squareNo
Number typeIrrational
Verification17.74823934932 ≈ 315

On this page

How the answer is calculated

We solve x2 = 315. The resulting value is x = 17.7482393493.

Verification: 17.74823934932 ≈ 315.

Simplified radical form

The square root of 315 in simplified radical form is 3√35.

This is equivalent to √315, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17289
Upper or equal18324

Nearby square roots

NumberSquare root
√31217.6635217327
√31317.691806013
√31417.7200451467
√31517.7482393493
√31617.7763888346
√31717.8044938148
√31817.8325545001

Number properties

Is 315 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√315 is irrational because 315 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 315.