Solve =sqrt{48*8*24*16}712^2

$$= \sqrt { 48 \times 8 \times 24 \times 16 } 712 ^ { 2 }$$

Evaluate

$$194666496$$

Solution Steps

Multiply 48 and 8 to get 384.

$$\sqrt{384\times 24\times 16}\times 712^{2}$$

Multiply 384 and 24 to get 9216.

$$\sqrt{9216\times 16}\times 712^{2}$$

Multiply 9216 and 16 to get 147456.

$$\sqrt{147456}\times 712^{2}$$

Calculate the square root of 147456 and get 384.

$$384\times 712^{2}$$

Calculate 712 to the power of 2 and get 506944.

$$384\times 506944$$

Multiply 384 and 506944 to get 194666496.

$$194666496$$

Factor

$$2^{13}\times 3\times 89^{2}$$