Question
Find the exact value of (1 point) Responses Image with alt text: start fraction start root 2 end root over 2 end fraction Image with alt text: one-half Image with alt text: start fraction start root 3 end root over 2 end fraction –
Answers
GPT 3.5
To find the exact value of the expression, we need to simplify it.
The expression is:
√2 / 2 - 1/2 - √3 / 2
To combine the terms, we need to have a common denominator. The common denominator is 2.
Rewriting the expression with the common denominator:
√2 / 2 - 1/2 - √3 / 2 = (√2 - 1 - √3) / 2
Therefore, the exact value of the expression is:
(√2 - 1 - √3) / 2
The expression is:
√2 / 2 - 1/2 - √3 / 2
To combine the terms, we need to have a common denominator. The common denominator is 2.
Rewriting the expression with the common denominator:
√2 / 2 - 1/2 - √3 / 2 = (√2 - 1 - √3) / 2
Therefore, the exact value of the expression is:
(√2 - 1 - √3) / 2