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  1. Why Does sqrt(x^2) Equal |x| and Not Just x or -x? - Physics Forums

    May 29, 2009 · The equation sqrt (x^2) = |x| is established as a definition in mathematics, where the square root function is defined to return the non-negative root. This is necessary because the square …

  2. Significant figures for special functions (square roots)

    Dec 13, 2020 · SUMMARY The discussion centers on the appropriate number of significant figures (s.f.) to retain when calculating square roots, specifically using the example of 3.0, which has 2 s.f. …

  3. Reason for dividing peak value by sq. root 2 to get RMS

    Feb 19, 2009 · The peak voltage or current is divided by square root 2 to get the root mean square value.please i need a simple derivation just to understand,i will be very greatful for ur …

  4. Square Root of 4: Can it be +2 or -2? - Physics Forums

    Mar 6, 2010 · The square root of 4 is defined as +2 due to the convention of principal roots in mathematics, which states that the square root function must be single-valued. While both +2 and -2 …

  5. What is the value of 1 divided by the square root of 2? - Answers

    Mar 12, 2025 · What is the value of 1 / sqrt 2 and how does it relate to mathematical calculations? The value of 1 divided by the square root of 2 is approximately 0.707.

  6. Why is the square root of x^2 = |x|? • Physics Forums

    Nov 3, 2023 · The equation √ (x²) = |x| holds true for all real numbers x, as the square root function is defined to return only the principal (positive) square root. In the discussion, a common misconception …

  7. What is the significance of sqrt {2gh} ? • Physics Forums

    Apr 22, 2010 · The equation \ (\upsilon = \sqrt {2gh}\) is significant in physics as it relates to kinetic energy (KE) and potential energy (PE), particularly in escape velocity problems and conservation of …

  8. Is the Square Root of 0 Undefined? - Physics Forums

    Oct 24, 2004 · Square roots are defined algebraically, not by limits. 0 is a solution to x^2 = 0, so 0 is a square root of 0. \lim_ {x \rightarrow 0} \sqrt {x} does, in fact, not exist, but that's because \sqrt {x} is …

  9. Log base 2 is the same thing as square root? - Physics Forums

    Feb 9, 2013 · The logarithm of base 2 of a number x, denoted as log₂ {x}, is not the same as the square root of x, √x. The logarithmic expression log₂ {x} = y implies that x = 2^y, while the square root …

  10. Find V Max, V Min: Solutions & Equations • Physics Forums

    Feb 27, 2011 · Homework Equations I don't know the relevant equations for V max, V min and V rms. But I found some equations say Vpp ( voltage peak to peak ) = 2 * Vp ( V peak) V rms ( RMS voltage …