What is the square root of 625?
20
25
30
35
In the realm of mathematics, particularly in algebra, understanding squares and square roots is essential. Squaring a number involves multiplying it by itself, as demonstrated with 625, which when squared results in 390,625. This operation delves into the properties of rational numbers and provides a basis for exploring more complex mathematical relationships and patterns, which are vital for gaining deeper insights into advanced mathematical concepts.
625²(625 × 625) = 390625
The square of 625 refers to the result of multiplying the number 625 by itself. In mathematical terms, squaring a number means raising it to the power of two. For 625, this calculation is expressed as 6252, which equals 390,625. Squaring is a fundamental arithmetic operation that provides insights into various mathematical properties and is used across different areas of mathematics.
√625= 25
The square root of 625 refers to the number that, when multiplied by itself, results in 625. In mathematical notation, this is expressed as √625. For 625, the square root is 25, since 25×25=625. Understanding square roots is a basic yet crucial concept in mathematics, helping to solve equations, understand geometric properties, and analyze data sets.
Square Root of 625: 25
Exponential Form of 625: 5⁴
Radical Form of 625: √625
The square root of 625 is rational number
The square root of 625 is rational. A rational number is defined as a number that can be expressed as the fraction 𝑝𝑞, where 𝑝 and 𝑞 are integers and 𝑞 is not zero. In this case, √625=25, which can be expressed as 25/1, satisfying the conditions for rational numbers. Since 25 is a whole number, it clearly fits the definition of a rational number.
A number is considered irrational if it cannot be expressed as a simple fraction 𝑝𝑞 where both 𝑝 and 𝑞 are integers and 𝑞 is not zero. Irrational numbers have non-repeating, non-terminating decimal expansions. An example is √2, which approximates to 1.41421356… and continues indefinitely without repeating. However, since √625=25 is a terminating decimal and can be expressed as a fraction, it is not irrational.
Finding the square root of 625 can be done using various methods. Here are some methods are as follows:
These methods provide various ways to determine the square root of 625, each suited to different situations and levels of mathematical familiarity.
To find the square root of 625 using the long division method, follow these steps:
Yes, 625 is a perfect square.
Yes, 625 is a perfect square. A perfect square is a number that can be expressed as the square of an integer. The integer whose square equals 625 is 25, since 25×25=625. Therefore, 625 fits the definition of a perfect square, with its square root being a whole number.
It can be used in various mathematical calculations, architectural designs, and when analyzing data sets that involve areas or other quadratic relations.
Yes, it is used in geometry to calculate side lengths of squares and is essential for determining areas and perimeters.
Operations include finding its factors, multiples, square, and square root, which are useful in algebra and number theory.
In statistics, 625 can be used to calculate sample sizes, variance analyses, and in the construction of symmetric square matrices for complex data interpretations.
The fourth root of 625 is the number that, when multiplied by itself four times, equals 625. Mathematically, this is expressed as 4√625. By breaking it down, since 625=5⁴, the fourth root of 625 simplifies to 5 (5⁴/⁴=5¹=5). Thus, the fourth root of 625 is 5. This calculation is an example of applying roots to simplify numbers exponentially.
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What is the square root of 625?
20
25
30
35
What is the square of 25?
525
600
625
650
If x² = 625, what is x?
5
10
15
25
Which of the following is a perfect square?
600
610
620
625
Which of the following numbers has a square root of 25?
500
525
625
650
Find the value of 625⁰.⁵.
20
25
30
35
The area of a square is 625 square units. What is the length of one side of the square?
10 units
20 units
25 units
30 units
Solve for x: x² = 625
x = 10
x = 20
x = 25
x = 30
Which of the following equations is correct?
20² = 400
24² = 576
25² = 625
26² = 676
Simplify √625.
21
22
23
25
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