Simplify 3/(2 square root of 2)

Problem

3/(2√(,2))

Solution

1. Identify the expression as a fraction with an irrational denominator containing √(,2)

2. Rationalize the denominator by multiplying both the numerator and the denominator by √(,2) to eliminate the radical from the bottom.

(3⋅√(,2))/(2√(,2)⋅√(,2))

3. Simplify the denominator by using the property √(,a)⋅√(,a)=a

2⋅2

4. Calculate the final values in the numerator and denominator.

(3√(,2))/4

Final Answer

3/(2√(,2))=(3√(,2))/4

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