sqrt(((10 ×9.258,484)-(9.619,98)^(2))/(10^(2)×(10-1)))

Correct Notation: First, we need to correct the notation of the numbers involved in the expression. The commas should be decimal points. The expression should be written as: sqrt(((10 × 9.258484) - (9.61998)²) / (10² × (10 - 1)))Calculate Product: Now, let's calculate the term (10 × 9.258484): 10 × 9.258484 = 92.58484Calculate Square: Next, we calculate the square of 9.61998: (9.61998)² = 92.5439604004Subtract Square: Subtract the square of 9.61998 from the product of 10 and 9.258484: 92.58484 - 92.5439604004 = 0.0408795996Calculate Denominator: Now, calculate the denominator, which is the product of 10 squared and 9: 10² × (10 - 1) = 100 × 9 = 900Divide by Denominator: Divide the difference obtained earlier by the denominator: 0.0408795996 / 900 = 0.0000454217773333Calculate Square Root: Finally, take the square root of the quotient: sqrt(0.0000454217773333) ≈ 0.006738Final Value: We have now found the value of the given expression.

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sqrt(((10 ×9.258,484)-(9.619,98)^(2))/(10^(2)×(10-1)))

$\sqrt{\frac{(10 \times 9.258,484)-(9.619,98)^{2}}{10^{2} \times(10-1)}}$

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Algebra 2

Sum of finite series not start from 1

Full solution

\sqrt{\frac{(10 \times 9.258,484)-(9.619,98)^{2}}{10^{2} \times(10-1)}}

Correct Notation: First, we need to correct the notation of the numbers involved in the expression. The commas should be decimal points. The expression should be written as: $\sqrt{\left(\left(10 \times 9.258484\right) - \left(9.61998\right)^2\right) / \left(10^2 \times \left(10 - 1\right)\right)}$
Calculate Product: Now, let's calculate the term $10 \times 9.258484$ : $10 \times 9.258484 = 92.58484$
Calculate Square: Next, we calculate the square of $9.61998$ : $\newline$ $(9.61998)^2 = 92.5439604004$
Subtract Square: Subtract the square of $9.61998$ from the product of $10$ and $9.258484$ : $\newline$ $92.58484 - 92.5439604004 = 0.0408795996$
Calculate Denominator: Now, calculate the denominator, which is the product of $10$ squared and $9$ : $10^2 \times (10 - 1) = 100 \times 9 = 900$
Divide by Denominator: Divide the difference obtained earlier by the denominator: $0.0408795996 / 900 = 0.0000454217773333$
Calculate Square Root: Finally, take the square root of the quotient: $\sqrt{0.0000454217773333} \approx 0.006738$
Final Value: We have now found the value of the given expression.