Calculate the square root of 24

Problem

√(,24)

Solution

1. Identify the number inside the radical and look for its perfect square factors.

2. Factor the number 24 into a product of a perfect square and another integer.

√(,24)=√(,4⋅6)

3. Apply the product property of radicals, which states that √(,a⋅b)=√(,a)⋅√(,b)

√(,4⋅6)=√(,4)⋅√(,6)

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

√(,4)=2

5. Combine the results to write the expression in simplest radical form.

2⋅√(,6)=2√(,6)

Final Answer

√(,24)=2√(,6)

Want more problems? Check here!