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Square root of 450

The square root of 450 is 21.213203 (rounded to 6 decimal places). In simplest radical form it is 15√2.

Square root of 450

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 450 is the number that multiplied by itself gives 450.

  2. 2

    450 is between the perfect squares 21² = 441 and 22² = 484, so its square root is between 21 and 22.

  3. 3

    Pull out the biggest square factor: 450 = 225 Ɨ 2, so

    450=225Ɨ2=152\sqrt{450} = \sqrt{225 \times 2} = 15\sqrt{2}
  4. 4

    A calculator, or long division of digits, gives

    450ā‰ˆ21.213203\sqrt{450} \approx 21.213203
LaTeX source of the formulas on this page
\[ \sqrt{450} = 15\sqrt{2} \approx 21.213203 \]
\[ \sqrt{450} = \sqrt{225 \times 2} = 15\sqrt{2} \]
\[ \sqrt{450} \approx 21.213203 \]

Squares around 450

NumberSquared
20400
21441
22484
23529

Questions

What is the square root of 450?

The square root of 450 is 21.213203 (rounded to 6 decimal places). In simplest radical form it is 15√2.

Is 450 a perfect square?

No. It lies between 21² = 441 and 22² = 484.

What is 450 squared?

450 Ɨ 450 = 202500.

What is the square root of 450 rounded to 2 decimals?

21.21.

Nearby numbers

More about 450

    Square root of 450: 21.213203 | WordGPT