Solve sqrt{5^2-3^2}+3(4)-(14div2)

$$\sqrt { 5 ^ { 2 } - 3 ^ { 2 } } + 3 ( 4 ) - ( 14 \div 2 )$$

Evaluate

$$9$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\sqrt{25-3^{2}}+3\times 4-\frac{14}{2}$$

Calculate 3 to the power of 2 and get 9.

$$\sqrt{25-9}+3\times 4-\frac{14}{2}$$

Subtract 9 from 25 to get 16.

$$\sqrt{16}+3\times 4-\frac{14}{2}$$

Calculate the square root of 16 and get 4.

$$4+3\times 4-\frac{14}{2}$$

Multiply 3 and 4 to get 12.

$$4+12-\frac{14}{2}$$

Add 4 and 12 to get 16.

$$16-\frac{14}{2}$$

Divide 14 by 2 to get 7.

$$16-7$$

Subtract 7 from 16 to get 9.

$$9$$

Factor

$$3^{2}$$