Solve sqrt{63*(63-45)(63-39)(63-42)}

$$\sqrt { 63 \times ( 63 - 45 ) ( 63 - 39 ) ( 63 - 42 ) }$$

Evaluate

$$756$$

Solution Steps

Subtract 45 from 63 to get 18.

$$\sqrt{63\times 18\left(63-39\right)\left(63-42\right)}$$

Multiply 63 and 18 to get 1134.

$$\sqrt{1134\left(63-39\right)\left(63-42\right)}$$

Subtract 39 from 63 to get 24.

$$\sqrt{1134\times 24\left(63-42\right)}$$

Multiply 1134 and 24 to get 27216.

$$\sqrt{27216\left(63-42\right)}$$

Subtract 42 from 63 to get 21.

$$\sqrt{27216\times 21}$$

Multiply 27216 and 21 to get 571536.

$$\sqrt{571536}$$

Calculate the square root of 571536 and get 756.

$$756$$

Factor

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