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Evaluate 2/( square root of 7)

Problem

2/√(,7)

Solution

  1. Identify the expression as a fraction with an irrational denominator.

  2. Rationalize the denominator by multiplying both the numerator and the denominator by √(,7)

2/√(,7)⋅√(,7)/√(,7)

  1. Multiply the numerators together.

2⋅√(,7)=2√(,7)

  1. Multiply the denominators together.

√(,7)⋅√(,7)=7

  1. Combine the results into a single fraction.

(2√(,7))/7

Final Answer

2/√(,7)=(2√(,7))/7


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