Is 20-5�ã(5) the simplest form?
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21
and how do you simplify �ã(15-361)?
To determine if 20-5�ã(5) ÷ 21 is in its simplest form, we can first simplify the expression inside the parentheses and then divide the numerator by the denominator. Let's break it down step by step:
1. Simplifying the expression inside the parentheses:
5�ã(5) means taking the square root of 5. The square root of 5 is an irrational number, so we cannot simplify it further. Therefore, the expression remains as 5�ã(5).
2. Replacing the expression with its simplified form:
Now we substitute 5�ã(5) into the numerator of the fraction: 20 - 5�ã(5).
3. Performing the subtraction:
The expression 20 - 5�ã(5) cannot be simplified further. Therefore, it remains the same.
4. Computing the division:
We divide the result (20 - 5�ã(5)) by 21 to check if it can be further simplified. If the numerator and denominator have any common factors, we divide both by their greatest common factor. If not, it means the fraction is in its simplest form.
Regarding the second part of your question, you asked how to simplify �ã(15 - 361).
1. Simplifying the expression inside the parentheses:
15 - 361 is a subtraction operation. When we subtract 361 from 15, we get -346.
2. Replacing the expression with its simplified form:
After simplifying 15 - 361, we get �ã(-346).
At this point, we can't simplify the square root of a negative number (√-346) because the square root function only applies to non-negative numbers. So, �ã(-346) cannot be further simplified.