What is 54−−√3 simplified?
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The simplified form of 54-√3 is 54 - √3.
To simplify the expression 54−−√3, we need to evaluate the square root of 3. The square root of 3 (√3) is an irrational number and cannot be simplified further.
So, 54−−√3 cannot be simplified.
To simplify the expression 54 − ∛3, we first need to calculate the cubic root of 3.
To do this, you can use a scientific calculator or follow these steps:
1. Start by guessing a number that when cubed, is close to 3. For example, let's guess 1 as our initial number.
2. Cube the number you guessed: 1^3 = 1.
3. Compare the result with 3. Since 1^3 is less than 3, we need to increase our guess.
4. Next, try 2 as your guess. Cube 2: 2^3 = 8.
5. Since 8 is greater than 3, we need to decrease our guess.
6. Continue this trial and error process, adjusting your guess until you find a number that is close to 3 when cubed. You will find that ∛3 ≈ 1.44 (rounded to two decimal places).
Now, let's substitute this value back into the expression:
54 - ∛3 ≈ 54 - 1.44.
To simplify further, we subtract 1.44 from 54:
54 - 1.44 = 52.56.
Therefore, the simplified expression is approximately 52.56.