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Select the answer which is equivalent to the given expression using your calculator.

(15)/(-20-sqrt10)

(-20+sqrt10)/(13)

(-20-sqrt10)/(13)

(-20-sqrt10)/(26)

(-20+sqrt10)/(26)

Select the answer which is equivalent to the given expression using your calculator.\newline152010 \frac{15}{-20-\sqrt{10}} \newline20+1013 \frac{-20+\sqrt{10}}{13} \newline201013 \frac{-20-\sqrt{10}}{13} \newline201026 \frac{-20-\sqrt{10}}{26} \newline20+1026 \frac{-20+\sqrt{10}}{26}

Full solution

Q. Select the answer which is equivalent to the given expression using your calculator.\newline152010 \frac{15}{-20-\sqrt{10}} \newline20+1013 \frac{-20+\sqrt{10}}{13} \newline201013 \frac{-20-\sqrt{10}}{13} \newline201026 \frac{-20-\sqrt{10}}{26} \newline20+1026 \frac{-20+\sqrt{10}}{26}
  1. Understand the problem: Understand the problem.\newlineWe need to find which of the given options is equivalent to the expression (15)/(2010)(15)/(-20-\sqrt{10}). To do this, we will calculate the value of the original expression and then compare it with the calculated values of the given options.
  2. Calculate original expression: Calculate the value of the original expression using a calculator.\newline152010\frac{15}{-20-\sqrt{10}}\newlineFirst, calculate the square root of 1010, then subtract it from 20-20, and finally divide 1515 by the result.
  3. Calculate each option: Calculate the value of each option using a calculator.\newlineWe will calculate the value of each option one by one and compare it with the value obtained in Step 22.
  4. Compare calculated values: Compare the calculated values.\newlineAfter calculating the values of the original expression and the options, we will compare them to find the equivalent expression.
  5. Select correct option: Select the correct option.\newlineThe option that has the same value as the original expression is the equivalent expression.

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