Solve c=5sqrt{2^2*10}

$$c = 5 \sqrt { 2 ^ { 2 } \times 10 }$$

Solve for c

$$c=10\sqrt{10}\approx 31.622776602$$

Steps for Solving Linear Equation

Calculate 2 to the power of 2 and get 4.

$$c=5\sqrt{4\times 10}$$

Multiply 4 and 10 to get 40.

$$c=5\sqrt{40}$$

Factor 40=2^{2}\times 10. Rewrite the square root of the product \sqrt{2^{2}\times 10} as the product of square roots \sqrt{2^{2}}\sqrt{10}. Take the square root of 2^{2}.

$$c=5\times 2\sqrt{10}$$

Multiply 5 and 2 to get 10.

$$c=10\sqrt{10}$$

Assign c

$$c≔10\sqrt{10}$$