Solve sqrt{30(30-10)(30-24)(30-26)}

$$\sqrt{ 30(30-10)(30-24)(30-26) }$$

Evaluate

$$120$$

Solution Steps

Subtract 10 from 30 to get 20.

$$\sqrt{30\times 20\left(30-24\right)\left(30-26\right)}$$

Multiply 30 and 20 to get 600.

$$\sqrt{600\left(30-24\right)\left(30-26\right)}$$

Subtract 24 from 30 to get 6.

$$\sqrt{600\times 6\left(30-26\right)}$$

Multiply 600 and 6 to get 3600.

$$\sqrt{3600\left(30-26\right)}$$

Subtract 26 from 30 to get 4.

$$\sqrt{3600\times 4}$$

Multiply 3600 and 4 to get 14400.

$$\sqrt{14400}$$

Calculate the square root of 14400 and get 120.

$$120$$

Factor

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