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((19^(2)+sqrt69)/(54))^(3)*5

(192+6954)3⋅5 \left(\frac{19^{2}+\sqrt{69}}{54}\right)^{3} \cdot 5

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Full solution

Q. (192+6954)3⋅5 \left(\frac{19^{2}+\sqrt{69}}{54}\right)^{3} \cdot 5
  1. Calculate 1919 squared: Calculate 1919 squared (19219^2).\newline192=36119^2 = 361.
  2. Find square root of 6969: Find the square root of 6969.69\sqrt{69} is approximately 8.30668.3066.
  3. Add squared and square root: Add 19219^2 and 69\sqrt{69}. \newline361+8.3066≈369.3066361 + 8.3066 \approx 369.3066.
  4. Divide sum by 5454: Divide the sum by 5454. 369.3066/54≈6.8401369.3066 / 54 \approx 6.8401.
  5. Raise result to power of 33: Raise the result to the power of 33.6.84013≈320.29396.8401^3 \approx 320.2939.
  6. Multiply result by 55: Multiply the result by 55.\newline320.2939×5=1601.4695320.2939 \times 5 = 1601.4695.

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