if f(x)=x^2 find f(2-sqrt6)
I have the answer as 10-4sqrt6 is that right?
(2 - sqrt6)^2 = 4 - 4 sqrt6 + 6
= 10 - 4 sqrt6
Right!!
Thanks
To find f(2 - √6), we need to substitute the given value into the function f(x) = x^2.
Let's substitute x = 2 - √6 into the function:
f(2 - √6) = (2 - √6)^2
Expanding the square:
(2 - √6)(2 - √6) = 4 - 2√6 - 2√6 + 6
Simplifying the terms:
4 - 4√6 + 6 = 10 - 4√6
So, the correct answer is indeed 10 - 4√6.