Square root of 3528

The square root of 3528 is 59.39697 (rounded to 6 decimal places). In simplest radical form it is 42√2.

Square root of 3528

Pick any whole number from 1 to 10,000.

\sqrt{3528} = 42\sqrt{2} \approx 59.39697

How to work it out

1
The square root of 3528 is the number that multiplied by itself gives 3528.
2
3528 is between the perfect squares 59² = 3481 and 60² = 3600, so its square root is between 59 and 60.
3
Pull out the biggest square factor: 3528 = 1764 × 2, so
$\sqrt{3528} = \sqrt{1764 \times 2} = 42\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{3528} \approx 59.39697$

LaTeX source of the formulas on this page

\[ \sqrt{3528} = 42\sqrt{2} \approx 59.39697 \]
\[ \sqrt{3528} = \sqrt{1764 \times 2} = 42\sqrt{2} \]
\[ \sqrt{3528} \approx 59.39697 \]

What is the square root of 3528?

The square root of 3528 is 59.39697 (rounded to 6 decimal places). In simplest radical form it is 42√2.

Is 3528 a perfect square?

No. It lies between 59² = 3481 and 60² = 3600.

What is 3528 squared?

3528 × 3528 = 12446784.

What is the square root of 3528 rounded to 2 decimals?

59.40.