Square root of 148

The square root of 148 is 12.165525 (rounded to 6 decimal places). In simplest radical form it is 2√37.

Square root of 148

Pick any whole number from 1 to 10,000.

\sqrt{148} = 2\sqrt{37} \approx 12.165525

How to work it out

1
The square root of 148 is the number that multiplied by itself gives 148.
2
148 is between the perfect squares 12² = 144 and 13² = 169, so its square root is between 12 and 13.
3
Pull out the biggest square factor: 148 = 4 × 37, so
$\sqrt{148} = \sqrt{4 \times 37} = 2\sqrt{37}$
4
A calculator, or long division of digits, gives
$\sqrt{148} \approx 12.165525$

LaTeX source of the formulas on this page

\[ \sqrt{148} = 2\sqrt{37} \approx 12.165525 \]
\[ \sqrt{148} = \sqrt{4 \times 37} = 2\sqrt{37} \]
\[ \sqrt{148} \approx 12.165525 \]

What is the square root of 148?

The square root of 148 is 12.165525 (rounded to 6 decimal places). In simplest radical form it is 2√37.

Is 148 a perfect square?

No. It lies between 12² = 144 and 13² = 169.

What is 148 squared?

148 × 148 = 21904.

What is the square root of 148 rounded to 2 decimals?

12.17.