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200=\sqrt{19.6x}
Multiply 2 and 9.8 to get 19.6.
\sqrt{19.6x}=200
Swap sides so that all variable terms are on the left hand side.
19.6x=40000
Square both sides of the equation.
\frac{19.6x}{19.6}=\frac{40000}{19.6}
Divide both sides of the equation by 19.6, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{40000}{19.6}
Dividing by 19.6 undoes the multiplication by 19.6.
x=\frac{100000}{49}
Divide 40000 by 19.6 by multiplying 40000 by the reciprocal of 19.6.