simplify √12
The simplified form of √12 is 2√3.
The simplified form of √18 is 3√2.
simplify √18
simplify √125
The simplified form of √125 is 5√5.
simplify 3^√54
simplify the 3 cubed root of √54
To simplify the cube root of √54, we need to simplify the radicand first. The square root of 54 can be simplified as √(9 * 6), which further simplifies to √(9) * √(6).
Since √(9) equals 3, we have the cube root of √54 as the cube root of (3 * √(6)), or (∛3 * ∛(√6)).
Therefore, the simplified form of the cube root of √54 is (∛3 * ∛(√6)).
To simplify the square root of 12 (√12), you need to find the largest perfect square that can be divided evenly into 12.
Start by breaking down 12 into its prime factors: 12 = 2 * 2 * 3.
Now, group the prime factors into pairs: 2 * 2 * 3 = 2^2 * 3.
Take one factor from each pair and bring it out of the square root: √(2^2 * 3).
The factor that remains inside the square root is the product of the remaining factors: 2 * √3.
So, the simplified form of √12 is 2√3.
To simplify 3^√54, we need to simplify the exponent first. The square root of 54 can be simplified as √(9 * 6), which further simplifies to √(9) * √(6).
Since √(9) equals 3, we have 3^√54 = 3^[(√(9)) * (√(6))] = 3^(3 * √(6)).
Therefore, the simplified form of 3^√54 is 3^(3 * √(6)).