Evaluate square root of 10/7

Problem

√(,10/7)

Solution

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

√(,10/7)=√(,10)/√(,7)

2. Rationalize the denominator by multiplying both the numerator and the denominator by √(,7)

√(,10)/√(,7)⋅√(,7)/√(,7)

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

√(,10⋅7)/7

4. Simplify the expression by calculating the product inside the square root.

√(,70)/7

Final Answer

√(,10/7)=√(,70)/7

Want more problems? Check here!