Evaluate 1.2 square root of 12000

Problem

1.2√(,12000)

Solution

1. Rewrite the number inside the square root as a product of a perfect square and a simpler number.

12000=400×30

2. Apply the product property of square roots √(,a×b)=√(,a)×√(,b)

1.2√(,400×30)=1.2×√(,400)×√(,30)

3. Evaluate the square root of the perfect square.

√(,400)=20

4. Multiply the coefficients outside the radical.

1.2×20=24

5. Combine the result with the remaining radical.

24√(,30)

Final Answer

1.2√(,12000)=24√(,30)

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