Solve sqrt{4*2464/frac{22{7}}}

$$\sqrt{ 4 \times \frac{ 2464 }{ \frac{ 22 }{ 7 } } }$$

Evaluate

$$56$$

Solution Steps

Divide 2464 by \frac{22}{7} by multiplying 2464 by the reciprocal of \frac{22}{7}.

$$\sqrt{4\times 2464\times \frac{7}{22}}$$

Express 2464\times \frac{7}{22} as a single fraction.

$$\sqrt{4\times \frac{2464\times 7}{22}}$$

Multiply 2464 and 7 to get 17248.

$$\sqrt{4\times \frac{17248}{22}}$$

Divide 17248 by 22 to get 784.

$$\sqrt{4\times 784}$$

Multiply 4 and 784 to get 3136.

$$\sqrt{3136}$$

Calculate the square root of 3136 and get 56.

$$56$$

Factor

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