Evaluate square root of 7/2

Problem

√(,7/2)

Solution

1. Apply the quotient rule for radicals to separate the numerator and the denominator.

√(,7/2)=√(,7)/√(,2)

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

√(,7)/√(,2)⋅√(,2)/√(,2)

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

√(,7⋅2)/2

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

√(,14)/2

Final Answer

√(,7/2)=√(,14)/2

Want more problems? Check here!