Solve sqrt{[7^2+(3*5^2-5*15)*4-8*5]*2^2}=

$$\sqrt { [ 7 ^ { 2 } + ( 3 \times 5 ^ { 2 } - 5 \times 15 ) \times 4 - 8 \times 5 ] \times 2 ^ { 2 } } =$$

Evaluate

$$6$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$\sqrt{\left(49+\left(3\times 5^{2}-5\times 15\right)\times 4-8\times 5\right)\times 2^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\sqrt{\left(49+\left(3\times 25-5\times 15\right)\times 4-8\times 5\right)\times 2^{2}}$$

Multiply 3 and 25 to get 75.

$$\sqrt{\left(49+\left(75-5\times 15\right)\times 4-8\times 5\right)\times 2^{2}}$$

Multiply 5 and 15 to get 75.

$$\sqrt{\left(49+\left(75-75\right)\times 4-8\times 5\right)\times 2^{2}}$$

Subtract 75 from 75 to get 0.

$$\sqrt{\left(49+0\times 4-8\times 5\right)\times 2^{2}}$$

Multiply 0 and 4 to get 0.

$$\sqrt{\left(49+0-8\times 5\right)\times 2^{2}}$$

Add 49 and 0 to get 49.

$$\sqrt{\left(49-8\times 5\right)\times 2^{2}}$$

Multiply 8 and 5 to get 40.

$$\sqrt{\left(49-40\right)\times 2^{2}}$$

Subtract 40 from 49 to get 9.

$$\sqrt{9\times 2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\sqrt{9\times 4}$$

Multiply 9 and 4 to get 36.

$$\sqrt{36}$$

Calculate the square root of 36 and get 6.

$$6$$

Factor

$$2\times 3$$