# Evaluate (2 square root of 7)/(3 square root of 5- square root of 2)*( square root of 3)/( square root of 5-3 square root of 2)

Multiply by .
Combine and simplify the denominator.
Multiply and .
Move .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
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 .
Simplify.
Combine using the product rule for radicals.
Move to the left of .
Multiply by .
Simplify terms.
Multiply and .
Simplify the expression.
Move .
Expand the denominator using the FOIL method.
Simplify.
Multiply by .
Group and together.
Apply the distributive property.
Combine using the product rule for radicals.
Multiply by .
Simplify terms.
Multiply and .
Group and together.
Apply the distributive property.
Multiply .
Combine using the product rule for radicals.
Multiply by .
Combine using the product rule for radicals.
Multiply by .
Multiply by .
Combine and simplify the denominator.
Multiply and .
Move .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
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 .
Simplify.
Group and together.
Apply the distributive property.
Combine using the product rule for radicals.
Combine using the product rule for radicals.
Reorder.
Move to the left of .
Move to the left of .
Multiply by .
Combine fractions.
Multiply and .
Simplify the expression.
Move .
Expand the denominator using the FOIL method.
Simplify.
Multiply by .
Group and together.
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 by .
Multiply .
Multiply by .
Combine using the product rule for radicals.
Multiply by .
Multiply .
Combine using the product rule for radicals.
Multiply by .
Rewrite as .
Factor out of .
Rewrite as .
Rewrite as .
Pull terms out from under the radical.
Rewrite as .
Multiply by .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Evaluate (2 square root of 7)/(3 square root of 5- square root of 2)*( square root of 3)/( square root of 5-3 square root of 2)

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