Solve 252^2*sqrt{252}div52

$${ 252 }^{ 2 } \times \sqrt{ 252 } \div 52$$

Evaluate

$$\frac{95256\sqrt{7}}{13}\approx 19386.437452828$$

Solution Steps

Calculate 252 to the power of 2 and get 63504.

$$\frac{63504\sqrt{252}}{52}$$

Factor 252=6^{2}\times 7. Rewrite the square root of the product \sqrt{6^{2}\times 7} as the product of square roots \sqrt{6^{2}}\sqrt{7}. Take the square root of 6^{2}.

$$\frac{63504\times 6\sqrt{7}}{52}$$

Multiply 63504 and 6 to get 381024.

$$\frac{381024\sqrt{7}}{52}$$

Divide 381024\sqrt{7} by 52 to get \frac{95256}{13}\sqrt{7}.

$$\frac{95256}{13}\sqrt{7}$$