Question
What is the simplest form of the expression?
square root 3 – square root 6 over square root 3 + square root 6
square root 3 – square root 6 over square root 3 + square root 6
Answers
GPT 3.5
To simplify this expression, we can multiply both the numerator and the denominator by the conjugate of the denominator: square root 3 - square root 6.
(√3 - √6)(√3 - √6) = 3 - 2√18 + 6
= 9 - 2√18 + 6
= 15 - 2√18
(√3 + √6)(√3 - √6) = 3 - 6
= -3
Thus, the simplest form of the expression is (15 - 2√18) / -3
(√3 - √6)(√3 - √6) = 3 - 2√18 + 6
= 9 - 2√18 + 6
= 15 - 2√18
(√3 + √6)(√3 - √6) = 3 - 6
= -3
Thus, the simplest form of the expression is (15 - 2√18) / -3