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10=\sqrt{196x}
Multiply 2 and 98 to get 196.
\sqrt{196x}=10
Swap sides so that all variable terms are on the left hand side.
196x=100
Square both sides of the equation.
\frac{196x}{196}=\frac{100}{196}
Divide both sides by 196.
x=\frac{100}{196}
Dividing by 196 undoes the multiplication by 196.
x=\frac{25}{49}
Reduce the fraction \frac{100}{196} to lowest terms by extracting and canceling out 4.