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root(3)((180)/(6^(2)+9^(2)))

18062+923 \sqrt[3]{\frac{180}{6^{2}+9^{2}}}

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Full solution

Q. 18062+923 \sqrt[3]{\frac{180}{6^{2}+9^{2}}}
  1. Calculate denominator: Calculate the denominator 62+926^2 + 9^2.\newline62=366^2 = 36\newline92=819^2 = 81\newline36+81=11736 + 81 = 117
  2. Simplify fraction: Now, simplify the fraction 180117\frac{180}{117}. 180÷117=1.53846153846180 \div 117 = 1.53846153846 (approx)
  3. Find cube root: Find the cube root of 1.538461538461.53846153846.\ Cube root of 1.53846153846≈1.151.53846153846 \approx 1.15 (approx)

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