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To simplify the given radical expression, rewrite the radicands so that they have exponents that match the index of the radicals.
sqrt(7)
To simplify the given radical expression, we first need to rewrite the radicands so that they have exponents that match the index of the radicals. Then we will consider the properties for combining radical expressions when they are part of a sum or difference.
Split into factors
sqrt(a* b)=sqrt(a)*sqrt(b)
Calculate root
Multiply
Factor out sqrt(7)
Subtract term
Identity Property of Multiplication