Math & Trig

SQRT Formula

SQRT returns the positive square root of a number. It is a fundamental mathematical function used in statistical calculations (standard deviation), distance formulas (Pythagorean theorem), financial modeling, and any formula requiring square roots. SQRT(x) is equivalent to POWER(x, 0.5).

Syntax

SQRT(number)
ParameterDescription
number Parameter of the SQRT function.
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Examples

Basic square root

Formula
=SQRT(144)
Returns: 12 — the square root of 144

Distance between two points

Formula
=SQRT((A2-C2)^2 + (B2-D2)^2)
Returns: 5 — the Euclidean distance between points (0,0) and (3,4)

Standard error calculation

Formula
=STDEV(B2:B100)/SQRT(COUNT(B2:B100))
Returns: the standard error of the mean — standard deviation divided by the square root of sample size

Common Errors

#NUM!

The argument is negative. You cannot take the square root of a negative number. Use ABS() if you need the square root of the magnitude.

#VALUE!

The argument is text, not a number. Ensure the cell contains a numeric value.

Tips

SQRT vs POWER

SQRT(x) is identical to POWER(x, 0.5) or x^0.5. Use whichever is more readable in your context.

Handle negatives

=SQRT(ABS(A1)) avoids #NUM! errors by taking the square root of the absolute value.

Perfect square check

=INT(SQRT(A1))^2=A1 returns TRUE if A1 is a perfect square (like 4, 9, 16, 25...).

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