Solve sqrt{(-3sqrt{13})^2}=

$$\sqrt { ( - 3 \sqrt { 13 } ) ^ { 2 } } =$$

Evaluate

$$3\sqrt{13}\approx 10.816653826$$

Solution Steps

Expand \left(-3\sqrt{13}\right)^{2}.

$$\sqrt{\left(-3\right)^{2}\left(\sqrt{13}\right)^{2}}$$

Calculate -3 to the power of 2 and get 9.

$$\sqrt{9\left(\sqrt{13}\right)^{2}}$$

The square of \sqrt{13} is 13.

$$\sqrt{9\times 13}$$

Multiply 9 and 13 to get 117.

$$\sqrt{117}$$

Factor 117=3^{2}\times 13. Rewrite the square root of the product \sqrt{3^{2}\times 13} as the product of square roots \sqrt{3^{2}}\sqrt{13}. Take the square root of 3^{2}.

$$3\sqrt{13}$$