Solve any maths problem

Step by step

1. \sqrt{3^{2} \cdot \frac{1}{25} + 4^{2} \cdot \frac{1}{20}} = \sqrt{3^{2} \cdot \frac{1}{25} + 16 \cdot \frac{1}{20}}

   Power: 4^2 = 16.

2. \sqrt{3^{2} \cdot \frac{1}{25} + 16 \cdot \frac{1}{20}} = \sqrt{3^{2} \cdot \frac{1}{25} + \frac{4}{5}}

   Multiply: 16(1/20) = 4/5.

3. \sqrt{3^{2} \cdot \frac{1}{25} + \frac{4}{5}} = \sqrt{9 \cdot \frac{1}{25} + \frac{4}{5}}

   Power: 3^2 = 9.

4. \sqrt{9 \cdot \frac{1}{25} + \frac{4}{5}} = \sqrt{\frac{9}{25} + \frac{4}{5}}

   Multiply: 9(1/25) = 9/25.

5. \sqrt{\frac{9}{25} + \frac{4}{5}} = \sqrt{\frac{9}{25} + \frac{20}{25}}

   Rewrite every fraction over the common denominator 25.

6. \sqrt{\frac{9}{25} + \frac{20}{25}} = \sqrt{\frac{29}{25}}

   Add: 9/25 + 20/25 = 29/25.