Solve sqrt{(79^3-41^3/38+79*41)div(133.5^2-58.5^2)}

$$\sqrt{ ( \frac{ { 79 }^{ 3 } - { 41 }^{ 3 } }{ 38 } +79 \times 41) \div ( { 133.5 }^{ 2 } - { 58.5 }^{ 2 } ) }$$

Evaluate

$$1$$

Solution Steps

Calculate 79 to the power of 3 and get 493039.

$$\sqrt{\frac{\frac{493039-41^{3}}{38}+79\times 41}{133.5^{2}-58.5^{2}}}$$

Calculate 41 to the power of 3 and get 68921.

$$\sqrt{\frac{\frac{493039-68921}{38}+79\times 41}{133.5^{2}-58.5^{2}}}$$

Subtract 68921 from 493039 to get 424118.

$$\sqrt{\frac{\frac{424118}{38}+79\times 41}{133.5^{2}-58.5^{2}}}$$

Divide 424118 by 38 to get 11161.

$$\sqrt{\frac{11161+79\times 41}{133.5^{2}-58.5^{2}}}$$

Multiply 79 and 41 to get 3239.

$$\sqrt{\frac{11161+3239}{133.5^{2}-58.5^{2}}}$$

Add 11161 and 3239 to get 14400.

$$\sqrt{\frac{14400}{133.5^{2}-58.5^{2}}}$$

Calculate 133.5 to the power of 2 and get 17822.25.

$$\sqrt{\frac{14400}{17822.25-58.5^{2}}}$$

Calculate 58.5 to the power of 2 and get 3422.25.

$$\sqrt{\frac{14400}{17822.25-3422.25}}$$

Subtract 3422.25 from 17822.25 to get 14400.

$$\sqrt{\frac{14400}{14400}}$$

Divide 14400 by 14400 to get 1.

$$\sqrt{1}$$

Calculate the square root of 1 and get 1.

$$1$$

Factor

$$1$$