The square root of 48 represents the value that, when multiplied by itself, gives the result of 48. In other words, it is the number that, when squared, equals 48.
The answer to the square root of 48 is approximately 6.928203230275509... (rounded to 15 decimal places).
The square root of 48 is an irrational number. An irrational number is a number that cannot be expressed as a fraction of two integers. The decimal representation of the square root of 48 goes on forever without repeating, indicating that it is irrational.
There are several methods to solve for the square root of 48. Here, we will discuss two common methods: prime factorization and the long division method.
Example 1: Find the square root of 48.
Using the prime factorization method: √48 = √(2 * 2 * 2 * 2 * 3) = 2 * √3 = 2√3.
Example 2: Simplify √(48/3).
√(48/3) = √(16) = 4.
Example 3: Evaluate (√48)^2.
(√48)^2 = 48.
In mathematics, the square root of a number is a value that, when multiplied by itself, gives the original number. It is denoted by the symbol √ and is used to find the side length of a square with a given area or to solve quadratic equations.
The square root of a number x can be calculated using the formula:
√x = x^(1/2)
The symbol √ is used to represent the square root in mathematics.
There are two types of square roots: positive square roots and negative square roots. The positive square root represents the principal square root, while the negative square root represents the opposite value.
Question: What is the square root of 48 in simplified radical form?
The square root of 48 in simplified radical form is 4√3.
Question: Is the square root of 48 a whole number?
No, the square root of 48 is not a whole number. It is an irrational number.
Question: Can the square root of 48 be negative?
Yes, the square root of 48 can be both positive and negative. The positive square root is denoted as √48, while the negative square root is denoted as -√48.