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Engineering function

IMSQRT

Returns the square root of a complex number.

Rarely usedDifficulty 1500 · AdvancedUsage rank #501 of 520
Practice · 2 questions →

When to use it

The principal square root of a complex number.

The shape of it

Syntax
=IMSQRT(inumber)

Worked examples

  • Typical

    =IMSQRT("1+i") 1.09868411346781+0.455089860562227i

    A typical result.

  • Negative real

    =IMSQRT("-4") 2i

    The square root of a negative number.

  • Positive real

    =IMSQRT("4") 2

    A positive real.

Worth knowing

  • Solve quadratics with negative discriminants: IMSQRT(COMPLEX(disc,0)).
  • Same as IMPOWER(z,0.5).
  • Result is text.

Where it goes wrong

  • #VALUE! for invalid text.
  • Only the principal root is returned; negate it for the other.

Related

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