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Basic Math Examples
Step 1
To remove the radical on the left side of the equation, square both sides of the equation.
Step 2
Step 2.1
Use to rewrite as .
Step 2.2
Simplify the left side.
Step 2.2.1
Simplify .
Step 2.2.1.1
Multiply the exponents in .
Step 2.2.1.1.1
Apply the power rule and multiply exponents, .
Step 2.2.1.1.2
Cancel the common factor of .
Step 2.2.1.1.2.1
Cancel the common factor.
Step 2.2.1.1.2.2
Rewrite the expression.
Step 2.2.1.2
Simplify.
Step 2.3
Simplify the right side.
Step 2.3.1
Simplify .
Step 2.3.1.1
Simplify with factoring out.
Step 2.3.1.1.1
Factor out of .
Step 2.3.1.1.1.1
Factor out of .
Step 2.3.1.1.1.2
Factor out of .
Step 2.3.1.1.1.3
Factor out of .
Step 2.3.1.1.2
Rewrite as .
Step 2.3.1.2
Expand using the FOIL Method.
Step 2.3.1.2.1
Apply the distributive property.
Step 2.3.1.2.2
Apply the distributive property.
Step 2.3.1.2.3
Apply the distributive property.
Step 2.3.1.3
Simplify and combine like terms.
Step 2.3.1.3.1
Simplify each term.
Step 2.3.1.3.1.1
Multiply by .
Step 2.3.1.3.1.2
Move to the left of .
Step 2.3.1.3.1.3
Multiply .
Step 2.3.1.3.1.3.1
Raise to the power of .
Step 2.3.1.3.1.3.2
Raise to the power of .
Step 2.3.1.3.1.3.3
Use the power rule to combine exponents.
Step 2.3.1.3.1.3.4
Add and .
Step 2.3.1.3.1.4
Rewrite as .
Step 2.3.1.3.1.4.1
Use to rewrite as .
Step 2.3.1.3.1.4.2
Apply the power rule and multiply exponents, .
Step 2.3.1.3.1.4.3
Combine and .
Step 2.3.1.3.1.4.4
Cancel the common factor of .
Step 2.3.1.3.1.4.4.1
Cancel the common factor.
Step 2.3.1.3.1.4.4.2
Rewrite the expression.
Step 2.3.1.3.1.4.5
Simplify.
Step 2.3.1.3.1.5
Apply the distributive property.
Step 2.3.1.3.1.6
Multiply by .
Step 2.3.1.3.1.7
Multiply by .
Step 2.3.1.3.2
Subtract from .
Step 2.3.1.3.3
Add and .
Step 3
Step 3.1
Rewrite the equation as .
Step 3.2
Move all terms not containing to the right side of the equation.
Step 3.2.1
Subtract from both sides of the equation.
Step 3.2.2
Subtract from both sides of the equation.
Step 3.2.3
Combine the opposite terms in .
Step 3.2.3.1
Subtract from .
Step 3.2.3.2
Add and .
Step 3.2.4
Subtract from .
Step 4
To remove the radical on the left side of the equation, square both sides of the equation.
Step 5
Step 5.1
Use to rewrite as .
Step 5.2
Simplify the left side.
Step 5.2.1
Simplify .
Step 5.2.1.1
Apply the distributive property.
Step 5.2.1.2
Simplify the expression.
Step 5.2.1.2.1
Multiply by .
Step 5.2.1.2.2
Multiply by .
Step 5.2.1.2.3
Apply the product rule to .
Step 5.2.1.2.4
Raise to the power of .
Step 5.2.1.2.5
Multiply the exponents in .
Step 5.2.1.2.5.1
Apply the power rule and multiply exponents, .
Step 5.2.1.2.5.2
Cancel the common factor of .
Step 5.2.1.2.5.2.1
Cancel the common factor.
Step 5.2.1.2.5.2.2
Rewrite the expression.
Step 5.2.1.3
Simplify.
Step 5.2.1.4
Apply the distributive property.
Step 5.2.1.5
Multiply.
Step 5.2.1.5.1
Multiply by .
Step 5.2.1.5.2
Multiply by .
Step 5.3
Simplify the right side.
Step 5.3.1
Raise to the power of .
Step 6
Step 6.1
Move all terms not containing to the right side of the equation.
Step 6.1.1
Add to both sides of the equation.
Step 6.1.2
Add and .
Step 6.2
Divide each term in by and simplify.
Step 6.2.1
Divide each term in by .
Step 6.2.2
Simplify the left side.
Step 6.2.2.1
Cancel the common factor of .
Step 6.2.2.1.1
Cancel the common factor.
Step 6.2.2.1.2
Divide by .
Step 6.2.3
Simplify the right side.
Step 6.2.3.1
Cancel the common factor of and .
Step 6.2.3.1.1
Factor out of .
Step 6.2.3.1.2
Cancel the common factors.
Step 6.2.3.1.2.1
Factor out of .
Step 6.2.3.1.2.2
Cancel the common factor.
Step 6.2.3.1.2.3
Rewrite the expression.
Step 7
Exclude the solutions that do not make true.