Simplify square root of 49/16

Problem

√(,49/16)

Solution

1. Apply the quotient rule for radicals, which states that the square root of a fraction is equal to the square root of the numerator divided by the square root of the denominator.

√(,49/16)=√(,49)/√(,16)

2. Evaluate the square root of the numerator. Since 7×7=49 the square root of 49 is 7

√(,49)/√(,16)=7/√(,16)

3. Evaluate the square root of the denominator. Since 4×4=16 the square root of 16 is 4

7/√(,16)=7/4

Final Answer

√(,49/16)=7/4

Want more problems? Check here!