What is the square root of 15?

Understand the Problem

The question is asking for the square root of 15, which is a mathematical concept involving finding a number that, when multiplied by itself, equals 15.

Answer

3.872
Answer for screen readers

The square root of 15 is approximately 3.872

Steps to Solve

  1. Understanding that 15 is not a perfect square

    The square root of 15 is not an integer because 15 is not a perfect square. Perfect squares are numbers like 1, 4, 9, 16, etc.

    1. Using a calculator for accuracy

    The most accurate way to find the square root of a non-perfect square like 15 is to use a calculator. $$ \sqrt{15} \approx 3.872 $$

    1. Expressing the answer in simplest radical form

    While the exact square root is not a simple fraction or integer, it can be written in simplest radical form as $$ \sqrt{15} $$

The square root of 15 is approximately 3.872

More Information

Square roots of non-perfect squares are often irrational numbers, which means they cannot be expressed exactly as a fraction or integer, only approximated.

Tips

A common mistake is to try to simplify the square root of a non-perfect square too much, or to incorrectly identify whether a number is a perfect square.

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