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

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

Evaluate

$$3$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

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

Calculate 5 to the power of 2 and get 25.

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

Multiply 3 and 25 to get 75.

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

Multiply 5 and 15 to get 75.

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

Subtract 75 from 75 to get 0.

$$\sqrt{49+0\times 4-8\times 5}$$

Multiply 0 and 4 to get 0.

$$\sqrt{49+0-8\times 5}$$

Add 49 and 0 to get 49.

$$\sqrt{49-8\times 5}$$

Multiply 8 and 5 to get 40.

$$\sqrt{49-40}$$

Subtract 40 from 49 to get 9.

$$\sqrt{9}$$

Calculate the square root of 9 and get 3.

$$3$$

Factor

$$3$$