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# BigIntegerMath sqrt() function | Guava | Java

• Last Updated : 03 Aug, 2021

The method sqrt(BigInteger x, RoundingMode mode) of Guava’s BigIntegerMath class returns the square root of x, rounded with the specified rounding mode.

Syntax:

```public static BigInteger sqrt(BigInteger x, RoundingMode mode)
```

Parameters: This method takes the following parameters:

• x : The BigInteger number whose square-root is to be found.
• mode : The rounding mode for calculating the square-root.

Return Value: This method returns the square root of x, rounded with the specified rounding mode.

Exceptions: This method throws following exceptions:

• IllegalArgumentException: if x < 0.
• ArithmeticException: if mode is RoundingMode.UNNECESSARY and sqrt(x) is not an integer.

#### Enum RoundingMode

Enum Constant Description
CEILING Rounding mode to round towards positive infinity.
DOWN Rounding mode to round towards zero.
FLOOR Rounding mode to round towards negative infinity.
HALF_DOWN Rounding mode to round towards “nearest neighbor” unless both neighbors are equidistant, in which case round down.
HALF_EVEN Rounding mode to round towards the “nearest neighbor” unless both neighbors are equidistant, in which case, round towards the even neighbor.
HALF_UP Rounding mode to round towards “nearest neighbor” unless both neighbors are equidistant, in which case round up.
UNNECESSARY Rounding mode to assert that the requested operation has an exact result, hence no rounding is necessary.
UP Rounding mode to round away from zero.

Below examples illustrates the BigIntegerMath.sqrt() method:

Example 1:

 `// Java code to show implementation of ` `// sqrt(BigInteger x, RoundingMode mode) method ` `// of Guava's BigIntegerMath class ` ` `  `import` `java.math.*; ` `import` `com.google.common.math.BigIntegerMath; ` ` `  `class` `GFG { ` ` `  `    ``// Driver code ` `    ``public` `static` `void` `main(String args[]) ` `    ``{ ` `        ``BigInteger x1 = BigInteger.valueOf(``226``); ` ` `  `        ``// Using sqrt(BigInteger x, RoundingMode mode) ` `        ``// method of Guava's BigIntegerMath class ` `        ``// The RoundingMode HALF_EVEN rounds towards ` `        ``// the nearest neighbor unless both neighbors ` `        ``// are equidistant, in which case, round towards ` `        ``// the even neighbor. ` `        ``BigInteger ans1 = BigIntegerMath ` `                              ``.sqrt(x1, ` `                                    ``RoundingMode.HALF_EVEN); ` ` `  `        ``System.out.println(``"Square root of "` `+ x1 ` `                           ``+ ``"with HALF_EVEN rounding mode is: "` `                           ``+ ans1); ` ` `  `        ``BigInteger x2 = BigInteger.valueOf(``154``); ` ` `  `        ``// Using sqrt(BigInteger x, RoundingMode mode) ` `        ``// method of Guava's BigIntegerMath class ` `        ``// The RoundingMode FLOOR rounds towards ` `        ``// negative infinity. ` `        ``BigInteger ans2 = BigIntegerMath ` `                              ``.sqrt(x2, ` `                                    ``RoundingMode.FLOOR); ` ` `  `        ``System.out.println(``"Square root of "` `+ x2 ` `                           ``+ ``"with FLOOR rounding mode is: "` `                           ``+ ans2); ` `    ``} ` `} `

Output:

```Square root of 226with HALF_EVEN rounding mode is: 15
Square root of 154with FLOOR rounding mode is: 12
```

Example 2:

 `// Java code to show implementation of ` `// sqrt(BigInteger x, RoundingMode mode) method ` `// of Guava's BigIntegerMath class ` ` `  `import` `java.math.*; ` `import` `com.google.common.math.BigIntegerMath; ` ` `  `class` `GFG { ` ` `  `    ``// Driver code ` `    ``public` `static` `void` `main(String args[]) ` `    ``{ ` ` `  `        ``try` `{ ` `            ``BigInteger x1 = BigInteger.valueOf(-``65``); ` ` `  `            ``// Using sqrt(BigInteger x, RoundingMode mode) ` `            ``// method of Guava's BigIntegerMath class ` `            ``// The RoundingMode HALF_EVEN rounds towards ` `            ``// the nearest neighbor unless both neighbors ` `            ``// are equidistant, in which case, round towards ` `            ``// the even neighbor. ` `            ``BigInteger ans1 = BigIntegerMath ` `                                  ``.sqrt(x1, ` `                                        ``RoundingMode.HALF_EVEN); ` ` `  `            ``// This should throw "IllegalArgumentException" ` `            ``// as x1 < 0 ` `        ``} ` `        ``catch` `(Exception e) { ` `            ``System.out.println(``"Exception: "` `+ e); ` `        ``} ` `    ``} ` `} `

Output:

```Exception: java.lang.IllegalArgumentException: x (-65) must be >= 0
```

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