# Rationalize the Denominator ( square root of 125- square root of 6)/( square root of 30-5)

Simplify the numerator.
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Combine fractions.
Multiply and .
Expand the denominator using the FOIL method.
Simplify.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply .
Combine using the product rule for radicals.
Multiply by .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Multiply by .
Multiply .
Combine using the product rule for radicals.
Multiply by .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Multiply by .
Subtract from .
Subtract from .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Rationalize the Denominator ( square root of 125- square root of 6)/( square root of 30-5)

Scroll to top