Solve sqrt{22*25*21*26+4/142^2-1420+25+9}

$$\sqrt { \frac { 22 \times 25 \times 21 \times 26 + 4 } { 142 ^ { 2 } - 1420 + 25 } + 9 }$$

Evaluate

$$5$$

Solution Steps

Multiply 22 and 25 to get 550.

$$\sqrt{\frac{550\times 21\times 26+4}{142^{2}-1420+25}+9}$$

Multiply 550 and 21 to get 11550.

$$\sqrt{\frac{11550\times 26+4}{142^{2}-1420+25}+9}$$

Multiply 11550 and 26 to get 300300.

$$\sqrt{\frac{300300+4}{142^{2}-1420+25}+9}$$

Add 300300 and 4 to get 300304.

$$\sqrt{\frac{300304}{142^{2}-1420+25}+9}$$

Calculate 142 to the power of 2 and get 20164.

$$\sqrt{\frac{300304}{20164-1420+25}+9}$$

Subtract 1420 from 20164 to get 18744.

$$\sqrt{\frac{300304}{18744+25}+9}$$

Add 18744 and 25 to get 18769.

$$\sqrt{\frac{300304}{18769}+9}$$

Divide 300304 by 18769 to get 16.

$$\sqrt{16+9}$$

Add 16 and 9 to get 25.

$$\sqrt{25}$$

Calculate the square root of 25 and get 5.

$$5$$

Factor

$$5$$