Simplify
$\frac{6-\sqrt{25}}{4}=$
Answer (1)
Evaluate the square root: 25 = 5 .
Substitute the value into the expression: 4 6 − 5 .
Perform the subtraction: 4 1 .
The simplified expression is 4 1 .
Explanation
Understanding the problem We are asked to simplify the expression 4 6 − 25 . This involves evaluating the square root, performing subtraction, and then dividing by 4.
Evaluate the square root First, we need to evaluate the square root of 25. Since 5 × 5 = 25 , we have 25 = 5 .
Substitute the value Now, substitute the value of the square root back into the original expression: 4 6 − 5 .
Perform subtraction Next, perform the subtraction in the numerator: 6 − 5 = 1 . So the expression becomes 4 1 .
Final result Finally, we have the simplified expression 4 1 .
Examples
Imagine you are splitting a bill of $6 with a friend, but you have a 5 co u p o n . T h ee x p ress i o n \frac{6-\sqrt{25}}{4} = \frac{1}{4} s h o w s t ha t a f t er a ppl y in g t h eco u p o n , e a c h p erso n p a ys \frac{1}{4}$ of a dollar, or 25 cents. This type of calculation is useful in everyday situations involving discounts and splitting costs.
