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Simplify 1/( square root of 3)

Problem

1/√(,3)

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 √(,3)

1/√(,3)⋅√(,3)/√(,3)

  1. Multiply the numerators together.

1⋅√(,3)=√(,3)

  1. Multiply the denominators together.

√(,3)⋅√(,3)=3

  1. Combine the results into a single fraction.

√(,3)/3

Final Answer

1/√(,3)=√(,3)/3


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