Simplifying the Expression: 54/(3√2)2
In this article, we will simplify the expression 54/(3√2)2 and find its value.
Step 1: Simplify the Denominator
The given expression is:
54/(3√2)2
To simplify the denominator, we need to simplify the expression inside the parentheses.
(3√2)2 = 3² × (√2)² = 9 × 2 = 18
So, the simplified denominator is 18.
Step 2: Simplify the Numerator
The numerator is 54. We don't need to simplify it further.
Step 3: Divide the Numerator by the Denominator
Now, we divide the numerator by the simplified denominator:
54 ÷ 18 = 3
Final Answer
The simplified value of the expression 54/(3√2)2 is 3.
Therefore, we have successfully simplified the expression 54/(3√2)2 and found its value to be 3.
