square root of 49

What does square root of 49 mean?

The square root of 49 represents the number that, when multiplied by itself, gives the result of 49. In other words, it is the value that, when squared, equals 49.

What is the answer to square root of 49?

The answer to the square root of 49 is 7.

Is square root of 49 a rational number or an irrational number?

The square root of 49 is a rational number. A rational number is a number that can be expressed as a fraction, where both the numerator and denominator are integers. Since 7 can be written as 7/1, it is a rational number.

Solving methods for square root of 49

There are several methods to solve for the square root of 49. Here, we will discuss two common methods: prime factorization and long division.

Prime Factorization Method:

1. Start by finding the prime factors of 49, which are 7 and 7.
2. Pair the prime factors in twos: 7 * 7.
3. Take one number from each pair and multiply them together: 7 * 7 = 49.
4. The result is the square root of 49, which is 7.

Long Division Method:

1. Start by assuming a number as the square root of 49, let's say 5.
2. Divide 49 by 5: 49 ÷ 5 = 9.8.
3. Take the average of the result and the assumed number: (5 + 9.8) ÷ 2 = 7.4.
4. Repeat steps 2 and 3 until you reach a desired level of accuracy.
5. The final result is the square root of 49, which is 7.

Solved examples about square root of 49

Example 1: Find the square root of 49.

Solution: The square root of 49 is 7, since 7 * 7 = 49.

Example 2: Evaluate √49 + 3.

Solution: √49 + 3 = 7 + 3 = 10.

Example 3: Simplify √(49/4).

Solution: √(49/4) = √49 / √4 = 7/2.

What do square root mean in mathematics?

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.

Square root formula

The square root formula is √x = y, where x is the number we want to find the square root of, and y is the square root of x.

What symbols are used to represent square root?

The symbol √ is used to represent the square root in mathematics.

What are the types of square roots?

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.

FAQs on square root of 49

Question: What is the square root of 49? Answer: The square root of 49 is 7.

Question: Is the square root of 49 a rational number? Answer: Yes, the square root of 49 is a rational number.

Question: Can the square root of 49 be simplified further? Answer: No, the square root of 49 is already in its simplest form.