Calculate $3000$ to the power of $2$ and get $9000000$.
$$\sqrt{\frac{6281800+9000000}{7}-1300^{2}}$$
Add $6281800$ and $9000000$ to get $15281800$.
$$\sqrt{\frac{15281800}{7}-1300^{2}}$$
Calculate $1300$ to the power of $2$ and get $1690000$.
$$\sqrt{\frac{15281800}{7}-1690000}$$
Convert $1690000$ to fraction $\frac{11830000}{7}$.
$$\sqrt{\frac{15281800}{7}-\frac{11830000}{7}}$$
Since $\frac{15281800}{7}$ and $\frac{11830000}{7}$ have the same denominator, subtract them by subtracting their numerators.
$$\sqrt{\frac{15281800-11830000}{7}}$$
Subtract $11830000$ from $15281800$ to get $3451800$.
$$\sqrt{\frac{3451800}{7}}$$
Rewrite the square root of the division $\sqrt{\frac{3451800}{7}}$ as the division of square roots $\frac{\sqrt{3451800}}{\sqrt{7}}$.
$$\frac{\sqrt{3451800}}{\sqrt{7}}$$
Factor $3451800=10^{2}\times 34518$. Rewrite the square root of the product $\sqrt{10^{2}\times 34518}$ as the product of square roots $\sqrt{10^{2}}\sqrt{34518}$. Take the square root of $10^{2}$.
$$\frac{10\sqrt{34518}}{\sqrt{7}}$$
Rationalize the denominator of $\frac{10\sqrt{34518}}{\sqrt{7}}$ by multiplying numerator and denominator by $\sqrt{7}$.
