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Simplify the left-hand side of the equation sqrt(3)+sqrt(5)sqrt(5).
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Step-by-step solution
5 stepsTo find the value of , we first need to simplify the given expression and then compare it to to find and .
Simplify the left-hand side of the equation .
We can split the fraction into two terms:
Rationalize the denominator of the term .
Multiply the numerator and the denominator by :
Substitute the rationalized term back into the expression.
Rearrange the terms to match the form :
Compare this simplified expression with .
By comparing the constant terms and the coefficients of , we can identify and :
Calculate the value of .
To add these, find a common denominator:
Convert the improper fraction to a mixed number:
Comparing this result with the given options:
A.
B.
C.
D.The correct option is C.
The final answer is .
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