Question

СРОЧНО 8ab+4(a-b)² при a=√3 b=√2

Answer 1

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Answer 2

To evaluate the expression 8ab + 4(a - b)² with given values a = √3 and b = √2, follow these steps:

Step 1: Substitute the values of a and b into the expression. Step 2: Perform the calculations.

Let's proceed with the calculations:

Step 1: a = √3 b = √2

Step 2: 8ab + 4(a - b)² = 8(√3)(√2) + 4(√3 - √2)²

Now, let's simplify further:

8(√3)(√2) = 8√(3 * 2) = 8√6

(√3 - √2)² = (√3 - √2)(√3 - √2) = (√3 - √2)(√3 - √2) = (√3)(√3) - 2(√3)(√2) + (√2)(√2) = 3 - 2√6 + 2 = 5 - 2√6

Now, substitute the values back into the expression:

8ab + 4(a - b)² = 8√6 + 4(5 - 2√6) = 8√6 + 20 - 8√6

Now, the √6 terms will cancel out, leaving us with:

8ab + 4(a - b)² = 20

So, the result of the expression with a = √3 and b = √2 is 20.