# Simplify ( square root of 3+1)/(1- square root of 3)*( square root of 3+1)/( square root of 3+1)

Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Simplify terms.
Multiply and .
Expand the denominator using the FOIL method.
Simplify.
Move the negative in front of the fraction.
Apply the distributive property.
Combine and .
Simplify the expression.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Apply the distributive property.
Multiply by .
Multiply .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Simplify each term.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Evaluate the exponent.
Multiply by .
Apply the distributive property.
Multiply by .
Subtract from .
Subtract from .
Cancel the common factor of and .
Factor out of .
Factor out of .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Simplify ( square root of 3+1)/(1- square root of 3)*( square root of 3+1)/( square root of 3+1)

Scroll to top