Question

5^3-√8 × 5^3+√8Как решается?

Answer 1

(5^3-√8)*(5^3+√8)=(5^3)^2-(√8)^2=125^2-8=15625-8=15617

Answer 2

To simplify the expression 5^3 - √8 × 5^3 + √8, we'll follow the order of operations (PEMDAS/BODMAS):

1. Perform operations inside the parentheses (if any).
2. Evaluate any exponents or roots.
3. Perform multiplication and division from left to right.
4. Perform addition and subtraction from left to right.

Let's simplify the expression step by step:

Step 1: Evaluate the powers and the square root 5^3 = 5 * 5 * 5 = 125 √8 = √(4 * 2) = √4 * √2 = 2√2

Now, the expression becomes: 125 - 2√2 × 125 + 2√2

Step 2: Perform multiplication 125 - 2√2 × 125 + 2√2 = 125 - 250√2 + 2√2

Step 3: Combine like terms 125 - 250√2 + 2√2 = 125 - 248√2

So, the simplified expression is 125 - 248√2.