simplify 3 square root of 54
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.
To simplify 3 square root of 54, we can start by factoring the number 54.
Step 1: Find the prime factorization of 54.
54 can be factored as 2 * 3 * 3 * 3, or 2 * 3^3.
Step 2: Simplify the square root.
We can simplify the square root by taking out the perfect square factors from under the square root symbol. In this case, we have one perfect square factor, which is 3^2.
Step 3: Simplify the remaining factors.
After taking out the perfect square factor, we are left with 2 * 3 * square root of 3.
Therefore, the simplified form of 3 square root of 54 is 6 square root of 3.