Solve v=sqrt{11,5^2}+10,5^2

$$v = \sqrt { 11,5 ^ { 2 } } + 10,5 ^ { 2 }$$

Solve for v

$$v=5\left(\sqrt{11}+50\right)\approx 266.583123952$$

Steps for Solving Linear Equation

Calculate 5 to the power of 2 and get 25.

$$v=\sqrt{11\times 25}+10\times 5^{2}$$

Multiply 11 and 25 to get 275.

$$v=\sqrt{275}+10\times 5^{2}$$

Factor 275=5^{2}\times 11. Rewrite the square root of the product \sqrt{5^{2}\times 11} as the product of square roots \sqrt{5^{2}}\sqrt{11}. Take the square root of 5^{2}.

$$v=5\sqrt{11}+10\times 5^{2}$$

Calculate 5 to the power of 2 and get 25.

$$v=5\sqrt{11}+10\times 25$$

Multiply 10 and 25 to get 250.

$$v=5\sqrt{11}+250$$

Assign v

$$v≔5\left(\sqrt{11}+50\right)$$