Square root of 4200

The square root of 4200 is 64.807407 (rounded to 6 decimal places). In simplest radical form it is 10√42.

Square root of 4200

Pick any whole number from 1 to 10,000.

\sqrt{4200} = 10\sqrt{42} \approx 64.807407

How to work it out

1
The square root of 4200 is the number that multiplied by itself gives 4200.
2
4200 is between the perfect squares 64² = 4096 and 65² = 4225, so its square root is between 64 and 65.
3
Pull out the biggest square factor: 4200 = 100 × 42, so
$\sqrt{4200} = \sqrt{100 \times 42} = 10\sqrt{42}$
4
A calculator, or long division of digits, gives
$\sqrt{4200} \approx 64.807407$

LaTeX source of the formulas on this page

\[ \sqrt{4200} = 10\sqrt{42} \approx 64.807407 \]
\[ \sqrt{4200} = \sqrt{100 \times 42} = 10\sqrt{42} \]
\[ \sqrt{4200} \approx 64.807407 \]

What is the square root of 4200?

The square root of 4200 is 64.807407 (rounded to 6 decimal places). In simplest radical form it is 10√42.

Is 4200 a perfect square?

No. It lies between 64² = 4096 and 65² = 4225.

What is 4200 squared?

4200 × 4200 = 17640000.

What is the square root of 4200 rounded to 2 decimals?

64.81.