Evaluate 4/( square root of 2)

Problem

4/√(,2)

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 √(,2)

4/√(,2)⋅√(,2)/√(,2)

3. Multiply the terms in the numerator and the denominator.

(4√(,2))/2

4. Simplify the fraction by dividing the coefficient 4 by 2.

2√(,2)

Final Answer

4/√(,2)=2√(,2)

Want more problems? Check here!