# Find the Domain ( square root of 8x^2)÷( square root of 2x) Set the radicand in greater than or equal to to find where the expression is defined.
Solve for .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Divide by .
Since the left side has an even power, it is always positive for all real numbers.
All real numbers
All real numbers
Set the radicand in greater than or equal to to find where the expression is defined.
Solve for .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Divide by .
The solution consists of all of the true intervals.
Set the denominator in equal to to find where the expression is undefined.
Solve for .
To remove the radical on the left side of the equation, square both sides of the equation.
Simplify each side of the equation.
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify.
Raising to any positive power yields .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Divide by .
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
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