Math.Sqrt Method

.NET Framework 2.0

Returns the square root of a specified number.

Namespace: System
Assembly: mscorlib (in mscorlib.dll)

Syntax

```public:
static double Sqrt (
double d
)
```
```public static double Sqrt (
double d
)
```
```public static function Sqrt (
d : double
) : double
```

d

A number.

Return Value

Value of d

Returns

Zero, or positive

The positive square root of d.

Negative

If d is equal to NaN or PositiveInfinity, that value is returned.

Example

The following code sample uses Sqrt to assist in the computation of the inner angles of a given trapezoid.

```/// <summary>
/// The following class represents simple functionality of the Trapezoid
/// </summary>
public ref class MathTrapezoidSample
{
private:
double m_longBase;
double m_shortBase;
double m_leftLeg;
double m_rightLeg;

public:
MathTrapezoidSample( double longbase, double shortbase, double leftLeg, double rightLeg )
{
m_longBase = Math::Abs( longbase );
m_shortBase = Math::Abs( shortbase );
m_leftLeg = Math::Abs( leftLeg );
m_rightLeg = Math::Abs( rightLeg );
}

private:
double GetRightSmallBase()
{
return (Math::Pow( m_rightLeg, 2.0 ) - Math::Pow( m_leftLeg, 2.0 ) + Math::Pow( m_longBase, 2.0 ) + Math::Pow( m_shortBase, 2.0 ) - 2 * m_shortBase * m_longBase) / (2 * (m_longBase - m_shortBase));
}

public:
double GetHeight()
{
double x = GetRightSmallBase();
return Math::Sqrt( Math::Pow( m_rightLeg, 2.0 ) - Math::Pow( x, 2.0 ) );
}

double GetSquare()
{
return GetHeight() * m_longBase / 2.0;
}

double GetLeftBaseRadianAngle()
{
double sinX = GetHeight() / m_leftLeg;
return Math::Round( Math::Asin( sinX ), 2 );
}

double GetRightBaseRadianAngle()
{
double x = GetRightSmallBase();
double cosX = (Math::Pow( m_rightLeg, 2.0 ) + Math::Pow( x, 2.0 ) - Math::Pow( GetHeight(), 2.0 )) / (2 * x * m_rightLeg);
return Math::Round( Math::Acos( cosX ), 2 );
}

double GetLeftBaseDegreeAngle()
{
double x = GetLeftBaseRadianAngle() * 180 / Math::PI;
return Math::Round( x, 2 );
}

double GetRightBaseDegreeAngle()
{
double x = GetRightBaseRadianAngle() * 180 / Math::PI;
return Math::Round( x, 2 );
}

};

int main()
{
MathTrapezoidSample^ trpz = gcnew MathTrapezoidSample( 20.0,10.0,8.0,6.0 );
Console::WriteLine( "The trpezoid's bases are 20.0 and 10.0, the trapezoid's legs are 8.0 and 6.0" );
double h = trpz->GetHeight();
Console::WriteLine( "Trapezoid height is: {0}", h.ToString() );
double dxR = trpz->GetLeftBaseRadianAngle();
Console::WriteLine( "Trapezoid left base angle is: {0} Radians", dxR.ToString() );
double dyR = trpz->GetRightBaseRadianAngle();
Console::WriteLine( "Trapezoid right base angle is: {0} Radians", dyR.ToString() );
double dxD = trpz->GetLeftBaseDegreeAngle();
Console::WriteLine( "Trapezoid left base angle is: {0} Degrees", dxD.ToString() );
double dyD = trpz->GetRightBaseDegreeAngle();
Console::WriteLine( "Trapezoid left base angle is: {0} Degrees", dyD.ToString() );
}

```
```/// <summary>
/// The following class represents simple functionallity of the Trapezoid
/// </summary>
class MathTrapezoidSample
{
private double mLongBase;
private double mShortBase;
private double mLeftLeg;
private double mRightLeg;
public MathTrapezoidSample(double longBase, double shortBase,
double leftLeg, double rightLeg)
{
mLongBase = System.Math.Abs(longBase);
mShortBase = System.Math.Abs(shortBase);
mLeftLeg = System.Math.Abs(leftLeg);
mRightLeg = System.Math.Abs(rightLeg);
} //MathTrapezoidSample

private double GetRightSmallBase()
{
return (System.Math.Pow(mRightLeg, 2.0)
- System.Math.Pow(mLeftLeg, 2.0)
+ System.Math.Pow(mLongBase, 2.0)
+ System.Math.Pow(mShortBase, 2.0)
- 2 * mShortBase * mLongBase) / (2 * (mLongBase - mShortBase));
} //GetRightSmallBase

public double GetHeight()
{
double x = GetRightSmallBase();
return System.Math.Sqrt(System.Math.Pow(mRightLeg, 2.0)
- System.Math.Pow(x, 2.0));
} //GetHeight

public double GetSquare()
{
return GetHeight() * mLongBase / 2.0;
} //GetSquare

public double GetLeftBaseRadianAngle()
{
double sinX = GetHeight() / mLeftLeg;
return System.Math.Round(System.Math.Asin(sinX), 2);
} //GetLeftBaseRadianAngle

public double GetRightBaseRadianAngle()
{
double x = GetRightSmallBase();
double cosX = (System.Math.Pow(mRightLeg, 2.0)
+ System.Math.Pow(x, 2.0)
- System.Math.Pow(GetHeight(), 2.0)) / (2 * x * mRightLeg);
return System.Math.Round(System.Math.Acos(cosX), 2);
} //GetRightBaseRadianAngle

public double GetLeftBaseDegreeAngle()
{
double x = GetLeftBaseRadianAngle() * 180 / System.Math.PI;
return System.Math.Round(x, 2);
} //GetLeftBaseDegreeAngle

public double GetRightBaseDegreeAngle()
{
double x = GetRightBaseRadianAngle() * 180 / System.Math.PI;
return System.Math.Round(x, 2);
} //GetRightBaseDegreeAngle

public static void main(String[] args)
{
MathTrapezoidSample trpz =
new MathTrapezoidSample(20.0, 10.0, 8.0, 6.0);
Console.WriteLine("The trpezoid's bases are 20.0 and 10.0,"
+ " the trapezoid's legs are 8.0 and 6.0");
double h = trpz.GetHeight();
Console.WriteLine("Trapezoid height is: "
+ System.Convert.ToString(h));
double dxR = trpz.GetLeftBaseRadianAngle();
Console.WriteLine("Trapezoid left base angle is: "
+ System.Convert.ToString(dxR) + " Radians");
double dyR = trpz.GetRightBaseRadianAngle();
Console.WriteLine("Trapezoid right base angle is: "
+ System.Convert.ToString(dyR) + " Radians");
double dxD = trpz.GetLeftBaseDegreeAngle();
Console.WriteLine("Trapezoid left base angle is: "
+ System.Convert.ToString(dxD) + " Degrees");
double dyD = trpz.GetRightBaseDegreeAngle();
Console.WriteLine("Trapezoid left base angle is: "
+ System.Convert.ToString(dyD) + " Degrees");
} //main
} //MathTrapezoidSample

```

Platforms

Windows 98, Windows 2000 SP4, Windows CE, Windows Millennium Edition, Windows Mobile for Pocket PC, Windows Mobile for Smartphone, Windows Server 2003, Windows XP Media Center Edition, Windows XP Professional x64 Edition, Windows XP SP2, Windows XP Starter Edition

The .NET Framework does not support all versions of every platform. For a list of the supported versions, see System Requirements.

Version Information

.NET Framework

Supported in: 2.0, 1.1, 1.0

.NET Compact Framework

Supported in: 2.0, 1.0

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