Solve 1div4*314*20sqrt{2}*20sqrt{2}

$$1 \div 4 \times 314 \times 20 \sqrt{ 2 } \times 20 \sqrt{ 2 }$$

Evaluate

$$62800$$

Solution Steps

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$20\times 20\times 314\times \frac{1}{4}\times 2$$

Multiply 20 and 20 to get 400.

$$400\times 314\times \frac{1}{4}\times 2$$

Multiply 400 and 314 to get 125600.

$$125600\times \frac{1}{4}\times 2$$

Multiply 125600 and \frac{1}{4} to get \frac{125600}{4}.

$$\frac{125600}{4}\times 2$$

Divide 125600 by 4 to get 31400.

$$31400\times 2$$

Multiply 31400 and 2 to get 62800.

$$62800$$

Factor

$$2^{4}\times 5^{2}\times 157$$