6- the square root of 25 divided by 4
The correct answer and explanation is:
The expression is: 254\frac{\sqrt{25}}{4}
Step 1: Find the square root of 25.
The square root of 25 is 5, since 5×5=255 \times 5 = 25.
Step 2: Substitute the square root value into the expression. 54\frac{5}{4}
Step 3: Simplify the expression.
The fraction 54\frac{5}{4} is already in its simplest form. It is equal to 1.25 in decimal form, or 1 and 1/4 if written as a mixed number.
Explanation:
The square root of a number is the value that, when multiplied by itself, gives the original number. In this case, the square root of 25 is 5, because 5 times 5 equals 25. When you divide the result by 4, you are simply taking 5 and dividing it by 4. This gives you the fraction 54\frac{5}{4}, which can be expressed in decimal form as 1.25.
This process highlights basic operations with square roots and division. Square roots are often used to find the original number when multiplied by itself, and division helps to break numbers down into smaller parts or more manageable values. The result of dividing by 4 is a simple way to represent the relationship between 5 and 4, showing how each part of the whole fits into the other. Whether you leave the answer as a fraction, decimal, or mixed number depends on the context or preference.