Question

(9-(65)^1/2)^1/2-(9+(65)^1/2)^1/2

Answer 1

Ответ:

Все прописано на фото. Надіюсь допомогла.

Answer 2

To evaluate the expression

(9 - (√65))^(1/2) - (9 + (√65))^(1/2)

we need to follow the order of operations, which is often referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Let's break down the expression step by step:

1. √65: This represents the square root of 65. Taking the square root of 65 gives us approximately 8.0622577483.

2. 9 - (√65): Subtracting the square root of 65 from 9 gives us approximately 0.9377422517.

3. (9 - (√65))^(1/2): Taking the square root of 0.9377422517 gives us approximately 0.9682458366.

4. 9 + (√65): Adding the square root of 65 to 9 gives us approximately 17.0622577483.

5. (9 + (√65))^(1/2): Taking the square root of 17.0622577483 gives us approximately 4.1283883737.

6. Finally, we subtract the result from Step 5 from the result of Step 3:

0.9682458366 - 4.1283883737 ≈ -3.1601425371

So, the value of the given expression is approximately -3.1601425371.