Calculate the square root of 75

Problem

√(,75)

Solution

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

75=3⋅25

2. Recognize that 25 is a perfect square.

25=5

3. Rewrite the expression using the product property of square roots, √(,a⋅b)=√(,a)⋅√(,b)

√(,75)=√(,25⋅3)

4. Simplify the square root of the perfect square.

√(,25⋅3)=5√(,3)

Final Answer

√(,75)=5√(,3)

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