Calculate the square root of 162

Problem

√(,162)

Solution

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

2. Factor the number 162 into a product of its prime factors.

162=2⋅81

3. Recognize that 81 is a perfect square.

81=9

4. Rewrite the original expression using these factors.

√(,162)=√(,81⋅2)

5. Apply the product property of radicals √(,a⋅b)=√(,a)⋅√(,b) to separate the terms.

√(,162)=√(,81)⋅√(,2)

6. Simplify the square root of the perfect square.

√(,81)=9

Final Answer

√(,162)=9√(,2)

Want more problems? Check here!