Simplify 1/(( square root of 2)/2)

Problem

1/√(,2)/2

Solution

1. Identify the expression as the reciprocal of a fraction.

2. Apply the rule for dividing by a fraction, which states that 1/a/b=b/a

3. Rewrite the expression by flipping the denominator.

1/√(,2)/2=2/√(,2)

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

2/√(,2)⋅√(,2)/√(,2)=(2√(,2))/2

5. Simplify the fraction by canceling the common factor of 2 in the numerator and denominator.

(2√(,2))/2=√(,2)

Final Answer

1/√(,2)/2=√(,2)

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