Solve 2(5sqrt{8*52sqrt{4}})

$$2(5 \sqrt{ 8 \times 52 \sqrt{ 4 } } )$$

Evaluate

$$80\sqrt{13}\approx 288.444102037$$

Solution Steps

Multiply 2 and 5 to get 10.

$$10\sqrt{8\times 52\sqrt{4}}$$

Multiply 8 and 52 to get 416.

$$10\sqrt{416\sqrt{4}}$$

Calculate the square root of 4 and get 2.

$$10\sqrt{416\times 2}$$

Multiply 416 and 2 to get 832.

$$10\sqrt{832}$$

Factor 832=8^{2}\times 13. Rewrite the square root of the product \sqrt{8^{2}\times 13} as the product of square roots \sqrt{8^{2}}\sqrt{13}. Take the square root of 8^{2}.

$$10\times 8\sqrt{13}$$

Multiply 10 and 8 to get 80.

$$80\sqrt{13}$$