simplify 3 square root of 54

1 answer

To simplify, first find the factors of the number inside the square root:

54 = 2 * 3 * 3 * 3

Next, group the factors in pairs of three:

54 = 2 * (3 * 3 * 3)

Take the square root of the perfect square factor:

√(3 * 3 * 3) = 3√3

Multiply the result by the remaining factors:

3√3 * 2 = 6√3

Therefore, 3√54 simplifies to 6√3.