Question

write down the java expression for:-
$a = \sqrt{x}^{2} + {y}^{2} + {z}^{2}$
​

Answer 1

Java expression for:

• $\green{a = \sqrt{x}^{2} + {y}^{2} + {z}^{2}}$

Required Answer:-

• a = Math.sqrt ( Math.pow ( x , 2) ) + Math.pow ( y , 2 ) + Math.pow ( z , 2 );
• a = Math.pow ( Math.pow ( x , 2 ) ,0.5 )+ Math.pow (y , 2)+ Math.pow(z , 2);
• a = Math.sqrt(x*x) + y*y + z*z

________

Note:-

• Math.sqrt(number) :- Returns the square root of a number. Return data type: double.
• Math.pow(number, power) :- Returns number raised to power. Ex: $\sf \it {(number)}^{power}$. Return data type: double.

______

More about Math Functions:-

• Math.ceil(a) - Rounds the number upto next higher integer. Return data type: Double
• Math.floor(a) - Rounds the number upto next lower integer. Return data type: Double.
• Math.max(a,b)- Returns the maximum value between two parameters. Return data type: Depends on the data type of the parameters.
• Math.min(a,b)- Returns minimum value between two parameters. Return data type: Depends on the data type of the parameters.
• Math.cbrt(a)- Returns cube root. Return data type: Double.
• Math.sqrt(a)- Returns square root. Return data type: Double.
• Math.log(a)- Returns natural logarithmic value of a given argument. Return data type: Double.
• Math.round(a)- Returns the number rounded to the nearest integer. (For more info: Please check the Knowledge box given at last.)
• Math.rint(a)- Returns the nearest integer of a given number. Return data type: double
• Math.exp(a)- Returns exponential value of a given argument. Return data type: Double
• Math.random()- There are no argument in this function and it returns random number between 0 and 1. Return data type: double
• Math.PI - Returns the value of pi(π)

_______

Knowledge Box...!

• It is necessary to know that round() and rint() are not same. Math.round() returns number in data type of the parameters while Math.rint() returns number in double data type.
• Another Difference... Let's take -9.5 as a parameter Math.round(-9.5) will return -9 while Math.rint(-9.5) returns -10.0

Answer 2

Question given:

Write down the java expression for:-

• $\sf{a = \sqrt{x}^{2} + {y}^{2} + {z}^{2} }$

Answer formation:

• Sqrt means square root

We would be using,

• Math.sqrt as x it is in square root
• Math.pow as x is raised to the power 2

So answer would be,

$\pink\bigstar \red{\boxed{ \tt{a \: = \: Math.sqrt ( Math.pow ( x , 2) ) + Math.pow ( y , 2 ) + Math.pow ( z , 2 )}}}$

Additional Information:

• Method is a named block of a códe in a class. It is executed within a defined set of instructions.
• Methods and variables of math class are defined as static members.
• Java.lang package contains classes and interfaces which are fundamental to Java programming language.
• The math class of java.lang package contains generic mathematical functions including some geometric and trigonometric function.
• Math.cbrt returns cube root of a double value.
• Math.ceil returns smallest integer which is greater or equal to the argument.
• Math.abs returns us the absolute value of a given argument.
• Math.pow it returns us the value of a first given argument raised to the power of the given second argument.
• Double datatype is used if a output comes in decimal.

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