Solve frac{sqrt{900}*sqrt{400}}{sqrt{16}*sqrt{25}}=

$$\frac { \sqrt { 900 } \times \sqrt { 400 } } { \sqrt { 16 } \times \sqrt { 25 } } =$$

Evaluate

$$30$$

Solution Steps

Calculate the square root of 900 and get 30.

$$\frac{30\sqrt{400}}{\sqrt{16}\sqrt{25}}$$

Calculate the square root of 400 and get 20.

$$\frac{30\times 20}{\sqrt{16}\sqrt{25}}$$

Multiply 30 and 20 to get 600.

$$\frac{600}{\sqrt{16}\sqrt{25}}$$

Calculate the square root of 16 and get 4.

$$\frac{600}{4\sqrt{25}}$$

Calculate the square root of 25 and get 5.

$$\frac{600}{4\times 5}$$

Multiply 4 and 5 to get 20.

$$\frac{600}{20}$$

Divide 600 by 20 to get 30.

$$30$$

Factor

$$2\times 3\times 5$$