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Square Root Calculator

Square Root Calculator is part of Toolspire and is ready as soon as this page loads. 144 is called a perfect square because its root is 12 exactly. 2 is not. Negative numbers are rejected; this page does not invent imaginary results.

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What you can do here

A perfect-square flag

The detail answers the yes-or-no question students actually ask after they see a decimal.

No imaginary results

A negative input returns nothing, rather than a complex number the rest of the page cannot use.

Eight decimal places

Enough to copy into a further calculation without pretending the float is exact for every input.

The sequence

How to use the Square Root Calculator

  1. 1

    Type a zero or positive number

    A minus sign is a refusal, not a result. Drop it only if you meant the absolute value.

  2. 2

    Read the perfect-square line

    If the detail says it is a perfect square, the headline should be a whole number you can square back.

  3. 3

    Square the answer to check

    12 × 12 is 144. A rounded root of 2, squared, will not land exactly on 2.

Worth knowing

  • Square Root Calculator on Toolspire: the root is √n, rounded on screen to 8 decimal places when it is not a short decimal.
  • An integer whose root is an integer is marked a perfect square. 144 is 12, and the detail says so.
  • Negative numbers are rejected. The square root of −1 is not reported as a real number here.
  • 0 is allowed. Its root is 0, and it is a perfect square.

Perfect square means the root is an integer

A perfect square in this school sense is an integer that is some integer times itself. 144 qualifies. 2 does not, even though it has a real square root. The page uses that definition and says so in the detail. It rounds the displayed root to eight decimals and does not claim those decimals are the exact root of a non-square.

FAQ

Questions about Square Root Calculator

Where does Square Root Calculator run?

Square Root Calculator runs in this tab on Toolspire. What you type or drop in is not sent to us and is not stored on a server.

What is the square root of 144?

12. The detail also says 144 is a perfect square.

Is 2 a perfect square?

No. The root is about 1.41421356, and the detail says it is not an integer perfect square.

What about negative numbers?

They are rejected. This page stays with real roots.

How many decimals are shown?

Up to eight. Trailing zeros from the rounding are not padded.

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