Calculate the square root of 84

Problem

√(,84)

Solution

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

84=2×42

42=2×21

21=3×7

2. Rewrite the expression using the prime factorization to identify perfect squares.

√(,84)=√(,2×3×7)

3. Apply the product property of radicals, √(,a×b)=√(,a)×√(,b) to separate the perfect square.

√(,84)=√(,2)×√(,3×7)

4. Simplify the square root of the perfect square and multiply the remaining factors under the radical.

√(,84)=2√(,21)

Final Answer

√(,84)=2√(,21)

Want more problems? Check here!