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Find the value of 693−329−313\sqrt{693-329}-\sqrt{313}, correct to 22 decimal places.

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Full solution

Q. Find the value of 693−329−313\sqrt{693-329}-\sqrt{313}, correct to 22 decimal places.
  1. Calculate Square Root: First, let's calculate the square root of 313313. Using a calculator, we find that 313≈17.691\sqrt{313} \approx 17.691.
  2. Subtract from 329329: Now, subtract 329329 from the square root of 313313. So, we have 329−17.691=311.309329 - 17.691 = 311.309.

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