Evaluate square root of 2/5

Problem

√(,2/5)

Solution

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

√(,2/5)=√(,2)/√(,5)

2. Rationalize the denominator by multiplying both the numerator and the denominator by √(,5)

√(,2)/√(,5)⋅√(,5)/√(,5)

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

√(,2⋅5)/5

4. Simplify the expression by calculating the product inside the radical.

√(,10)/5

Final Answer

√(,2/5)=√(,10)/5

Want more problems? Check here!