Square root of 5679

The square root of 5679 is 75.35914 (rounded to 6 decimal places). In simplest radical form it is 3√631.

Square root of 5679

Pick any whole number from 1 to 10,000.

\sqrt{5679} = 3\sqrt{631} \approx 75.35914

How to work it out

1
The square root of 5679 is the number that multiplied by itself gives 5679.
2
5679 is between the perfect squares 75² = 5625 and 76² = 5776, so its square root is between 75 and 76.
3
Pull out the biggest square factor: 5679 = 9 × 631, so
$\sqrt{5679} = \sqrt{9 \times 631} = 3\sqrt{631}$
4
A calculator, or long division of digits, gives
$\sqrt{5679} \approx 75.35914$

LaTeX source of the formulas on this page

\[ \sqrt{5679} = 3\sqrt{631} \approx 75.35914 \]
\[ \sqrt{5679} = \sqrt{9 \times 631} = 3\sqrt{631} \]
\[ \sqrt{5679} \approx 75.35914 \]

What is the square root of 5679?

The square root of 5679 is 75.35914 (rounded to 6 decimal places). In simplest radical form it is 3√631.

Is 5679 a perfect square?

No. It lies between 75² = 5625 and 76² = 5776.

What is 5679 squared?

5679 × 5679 = 32251041.

What is the square root of 5679 rounded to 2 decimals?

75.36.