# Solve for z y=2 square root of z

y=2z
Rewrite the equation as 2z=y.
2z=y
Divide each term by 2 and simplify.
Divide each term in 2z=y by 2.
2z2=y2
Cancel the common factor of 2.
Cancel the common factor.
2z2=y2
Divide z by 1.
z=y2
z=y2
z=y2
To remove the radical on the left side of the equation, square both sides of the equation.
z2=(y2)2
Simplify each side of the equation.
Multiply the exponents in (z12)2.
Apply the power rule and multiply exponents, (am)n=amn.
z12⋅2=(y2)2
Cancel the common factor of 2.
Cancel the common factor.
z12⋅2=(y2)2
Rewrite the expression.
z1=(y2)2
z1=(y2)2
z1=(y2)2
Simplify.
z=(y2)2
Apply the product rule to y2.
z=y222
Raise 2 to the power of 2.
z=y24
z=y24
Solve for z y=2 square root of z

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