Evaluate square root of 36-(3)^2

Problem

√(,36−3)

Solution

1. Evaluate the exponent inside the square root by calculating 3

3=9

2. Subtract the result from the first term inside the radical.

36−9=27

3. Simplify the radical by factoring the number into its prime factors to find perfect squares.

27=9×3

4. Extract the square root of the perfect square factor.

√(,9×3)=3√(,3)

Final Answer

√(,36−3)=3√(,3)

Want more problems? Check here!