Solve sqrt{60(60-25)(60-56)(60-39)}

$$\sqrt{ 60(60-25)(60-56)(60-39) }$$

Evaluate

$$420$$

Solution Steps

Subtract 25 from 60 to get 35.

$$\sqrt{60\times 35\left(60-56\right)\left(60-39\right)}$$

Multiply 60 and 35 to get 2100.

$$\sqrt{2100\left(60-56\right)\left(60-39\right)}$$

Subtract 56 from 60 to get 4.

$$\sqrt{2100\times 4\left(60-39\right)}$$

Multiply 2100 and 4 to get 8400.

$$\sqrt{8400\left(60-39\right)}$$

Subtract 39 from 60 to get 21.

$$\sqrt{8400\times 21}$$

Multiply 8400 and 21 to get 176400.

$$\sqrt{176400}$$

Calculate the square root of 176400 and get 420.

$$420$$

Factor

$$2^{2}\times 3\times 5\times 7$$