What is −72−−−−√3 simplified?
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The expression −72 −−−−√3 can be simplified as follows:
−72 −−−−√3 = −72 − (−√3) = −72 + √3
To simplify the expression −72−−−−√3, we need to apply the operations in the correct order.
Step 1: Start by simplifying the cubic root (√3).
To simplify the cubic root (√3), we need to find the value of the expression inside the root. The cubic root of 3 is an irrational number, which cannot be expressed as a simple fraction or decimal. So, we cannot simplify √3 any further.
Step 2: Subtract 72.
Now that we have simplified the cubic root (√3) as much as possible, we can go ahead and subtract it from 72.
Therefore, the simplified expression is 72−√3.
To simplify the expression −72−−−−√3, we need to evaluate the cubic root of 3.
√3 is equal to the positive value of the cubic root of 3, ∛3.
So, to evaluate ∛3, we find the number that, when multiplied by itself three times, equals 3.
Based on approximation, we can say that ∛3 is approximately 1.442.
Now, we substitute the value of ∛3 into the expression:
−72−−−−√3 = −72−1.442
Finally, we can subtract 1.442 from -72:
−72−1.442 ≈ -73.442
Therefore, the simplified expression −72−−−−√3 is approximately -73.442.