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Square root of 5

The square root of 5 is 2.236068 (rounded to 6 decimal places). It cannot be simplified.

Square root of 5

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 5 is the number that multiplied by itself gives 5.

  2. 2

    5 is between the perfect squares 2² = 4 and 3² = 9, so its square root is between 2 and 3.

  3. 3

    5 has no square factor bigger than 1, so the radical stays as it is.

    5\sqrt{5}
  4. 4

    A calculator, or long division of digits, gives

    5≈2.236068\sqrt{5} \approx 2.236068
LaTeX source of the formulas on this page
\[ \sqrt{5} = \sqrt{5} \approx 2.236068 \]
\[ \sqrt{5} \]
\[ \sqrt{5} \approx 2.236068 \]

Squares around 5

NumberSquared
11
24
39
416

Questions

What is the square root of 5?

The square root of 5 is 2.236068 (rounded to 6 decimal places). It cannot be simplified.

Is 5 a perfect square?

No. It lies between 2² = 4 and 3² = 9.

What is 5 squared?

5 × 5 = 25.

What is the square root of 5 rounded to 2 decimals?

2.24.

Nearby numbers

More about 5

    Square root of 5: 2.236068 | WordGPT