Question

√(21−8×√(5)+1÷√(5)−2)​

Answer 1

Ответ:

1,24846697

Пошаговое объяснение:

Answer 2

To evaluate the expression √(21−8×√(5)+1÷√(5)−2), we can follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Let's break down the expression step by step:

1. Start with the innermost parentheses and evaluate any expressions inside them. There are no parentheses in the given expression, so we can move to the next step.

2. Evaluate any exponents. There are no exponents in the given expression, so we move on.

3. Perform multiplication and division from left to right. We have 8×√(5) and 1÷√(5) in the expression. Let's calculate them separately:

   8 × √(5) = 8 × √(5) = 8√(5)

   1 ÷ √(5) = 1 ÷ √(5) = 1/√(5) = √(5)/5

   Now we substitute these results back into the original expression:

   √(21−8√(5)+1/√(5)−2) = √(21−8√(5)+√(5)/5−2)

4. Perform addition and subtraction from left to right. Now we have 21, -8√(5), √(5)/5, and 2. Let's calculate them separately:

   -8√(5) + √(5)/5 = (-8√(5) × 5 + √(5))/5 = (-40√(5) + √(5))/5 = (-39√(5))/5

   Now we substitute this result back into the original expression:

   √(21−8√(5)+√(5)/5−2) = √(21−(39√(5))/5−2)

5. Simplify any remaining addition and subtraction.

   Now we have 21 and (39√(5))/5:

   21 - (39√(5))/5 = (105 - 39√(5))/5

   Finally, substitute this result back into the original expression:

   √(21−(39√(5))/5−2) = √((105 - 39√(5))/5 - 2)

At this point, we cannot simplify the expression further without knowing the value of √(5). If you have a specific value for √(5), you can substitute it in the expression and calculate the final result.