Evaluate square root of 11/2

Problem

√(,11/2)

Solution

1. Apply the quotient property of radicals to separate the square root of the numerator and the denominator.

√(,11/2)=√(,11)/√(,2)

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

√(,11)/√(,2)⋅√(,2)/√(,2)

3. Multiply the radicals in the numerator and simplify the denominator.

√(,11⋅2)/√(,2⋅2)

4. Simplify the expression to reach the final radical form.

√(,22)/2

Final Answer

√(,11/2)=√(,22)/2

Want more problems? Check here!