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Square root of 3750

The square root of 3750 is 61.237244 (rounded to 6 decimal places). In simplest radical form it is 25√6.

Square root of 3750

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 3750 is the number that multiplied by itself gives 3750.

  2. 2

    3750 is between the perfect squares 61² = 3721 and 62² = 3844, so its square root is between 61 and 62.

  3. 3

    Pull out the biggest square factor: 3750 = 625 Ɨ 6, so

    3750=625Ɨ6=256\sqrt{3750} = \sqrt{625 \times 6} = 25\sqrt{6}
  4. 4

    A calculator, or long division of digits, gives

    3750ā‰ˆ61.237244\sqrt{3750} \approx 61.237244
LaTeX source of the formulas on this page
\[ \sqrt{3750} = 25\sqrt{6} \approx 61.237244 \]
\[ \sqrt{3750} = \sqrt{625 \times 6} = 25\sqrt{6} \]
\[ \sqrt{3750} \approx 61.237244 \]

Squares around 3750

NumberSquared
603600
613721
623844
633969

Questions

What is the square root of 3750?

The square root of 3750 is 61.237244 (rounded to 6 decimal places). In simplest radical form it is 25√6.

Is 3750 a perfect square?

No. It lies between 61² = 3721 and 62² = 3844.

What is 3750 squared?

3750 Ɨ 3750 = 14062500.

What is the square root of 3750 rounded to 2 decimals?

61.24.

Nearby numbers

More about 3750

    Square root of 3750: 61.237244 | WordGPT