Solve (1/5sqrt{75})*(1/5sqrt{75})+sqrt{26^2-24^2}

$$( \frac{ 1 }{ 5 } \sqrt{ 75 } ) \times ( \frac{ 1 }{ 5 } \sqrt{ 75 } )+ \sqrt{ { 26 }^{ 2 } - { 24 }^{ 2 } }$$

Evaluate

$$13$$

Solution Steps

Multiply \sqrt{75} and \sqrt{75} to get 75.

$$\frac{1}{5}\times 75\times \frac{1}{5}+\sqrt{26^{2}-24^{2}}$$

Multiply \frac{1}{5} and 75 to get \frac{75}{5}.

$$\frac{75}{5}\times \frac{1}{5}+\sqrt{26^{2}-24^{2}}$$

Divide 75 by 5 to get 15.

$$15\times \frac{1}{5}+\sqrt{26^{2}-24^{2}}$$

Multiply 15 and \frac{1}{5} to get \frac{15}{5}.

$$\frac{15}{5}+\sqrt{26^{2}-24^{2}}$$

Divide 15 by 5 to get 3.

$$3+\sqrt{26^{2}-24^{2}}$$

Calculate 26 to the power of 2 and get 676.

$$3+\sqrt{676-24^{2}}$$

Calculate 24 to the power of 2 and get 576.

$$3+\sqrt{676-576}$$

Subtract 576 from 676 to get 100.

$$3+\sqrt{100}$$

Calculate the square root of 100 and get 10.

$$3+10$$

Add 3 and 10 to get 13.

$$13$$

Factor

$$13$$