Solve y=sqrt{200*30*10/20*0,2}

$$y = \sqrt { \frac { 200 \cdot 30 \cdot 10 } { 20 \cdot 0,2 } }$$

Solve for y

$$y=50\sqrt{6}\approx 122.474487139$$

Steps for Solving Linear Equation

Cancel out 20 in both numerator and denominator.

$$y=\sqrt{\frac{10\times 10\times 30}{0,2}}$$

Multiply 10 and 10 to get 100.

$$y=\sqrt{\frac{100\times 30}{0,2}}$$

Multiply 100 and 30 to get 3000.

$$y=\sqrt{\frac{3000}{0,2}}$$

Expand \frac{3000}{0,2} by multiplying both numerator and the denominator by 10.

$$y=\sqrt{\frac{30000}{2}}$$

Divide 30000 by 2 to get 15000.

$$y=\sqrt{15000}$$

Factor 15000=50^{2}\times 6. Rewrite the square root of the product \sqrt{50^{2}\times 6} as the product of square roots \sqrt{50^{2}}\sqrt{6}. Take the square root of 50^{2}.

$$y=50\sqrt{6}$$

Assign y

$$y≔50\sqrt{6}$$