Solve sqrt{9000000}*5/8+sqrt{1000000}*3/8

$$\sqrt { 9000000 } \times \frac { 5 } { 8 } + \sqrt { 1000000 } \times \frac { 3 } { 8 }$$

Evaluate

$$2250$$

Solution Steps

Calculate the square root of 9000000 and get 3000.

$$3000\times \frac{5}{8}+\sqrt{1000000}\times \frac{3}{8}$$

Express 3000\times \frac{5}{8} as a single fraction.

$$\frac{3000\times 5}{8}+\sqrt{1000000}\times \frac{3}{8}$$

Multiply 3000 and 5 to get 15000.

$$\frac{15000}{8}+\sqrt{1000000}\times \frac{3}{8}$$

Divide 15000 by 8 to get 1875.

$$1875+\sqrt{1000000}\times \frac{3}{8}$$

Calculate the square root of 1000000 and get 1000.

$$1875+1000\times \frac{3}{8}$$

Express 1000\times \frac{3}{8} as a single fraction.

$$1875+\frac{1000\times 3}{8}$$

Multiply 1000 and 3 to get 3000.

$$1875+\frac{3000}{8}$$

Divide 3000 by 8 to get 375.

$$1875+375$$

Add 1875 and 375 to get 2250.

$$2250$$

Factor

$$2\times 3^{2}\times 5^{3}$$