Question

(√6-√24)² - √0,0121.​

Answer 1

Ответ:

5,89

Объяснение:

(√6-√24)² - √0,0121

(√6-2√6)² - √121/10000

(-√6)² - 11/100

√6²-11/100

6 - 11/100

589/100 = 5,89

Answer 2

(√6-√24)²-√0, 0121=√36-√576-√0, 0121=6-24-0,11=-18-0,11=-18,11

Answer 3

Let's simplify the expression step by step.

1. Start with the expression (√6 - √24)² - √0.0121.

2. Simplify the square of the binomial (√6 - √24)². (√6 - √24)² = (√6 - √24) × (√6 - √24) Using the formula (a - b)² = a² - 2ab + b², we have: = (√6)² - 2(√6)(√24) + (√24)² = 6 - 2√6√24 + 24 = 6 - 2√(6 × 24) + 24 = 6 - 2√144 + 24 = 6 - 2(12) + 24 = 6 - 24 + 24 = 6 So, (√6 - √24)² simplifies to 6.

3. Substitute the simplified value back into the expression: 6 - √0.0121

4. Simplify the square root of 0.0121. √0.0121 = √(121/10000) = 11/100 Therefore, √0.0121 simplifies to 11/100.

5. Substitute the simplified value back into the expression: 6 - (11/100)

6. Subtract the fraction from 6: 6 - (11/100) = (600/100) - (11/100) = (600 - 11)/100 = 589/100

Therefore, the simplified value of the expression (√6 - √24)² - √0.0121 is 589/100.