# Solve for y (-( square root of 8)/3)^2+y^2=1^2

Solve for y (-( square root of 8)/3)^2+y^2=1^2
Simplify each term.
Simplify the numerator.
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Use the power rule to distribute the exponent.
Apply the product rule to .
Apply the product rule to .
Apply the product rule to .
Raise to the power of .
Multiply by .
Simplify the numerator.
Raise to the power of .
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Evaluate the exponent.
Raise to the power of .
Multiply by .
One to any power is one.
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Write as a fraction with a common denominator.
Combine the numerators over the common denominator.
Subtract from .
Take the square root of both sides of the equation to eliminate the exponent on the left side.
Simplify .
Rewrite as .
Any root of is .
Simplify the denominator.
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the to find the first solution.
Next, use the negative value of the to find the second solution.
The complete solution is the result of both the positive and negative portions of the solution.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
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