Practice finding all trig values given one value, assuming all the values are non negative.
Practice for making denominators radical free.
Working with fractions with denominators of the form
a + sqrt(
b).
1) 3/(1 + sqrt(7))
2) 4/(sqrt(6) + 2)
3) 12/(sqrt(10) - 2)
Answers to the last three in the comments.
1) 3/(1 + sqrt(7))
ReplyDeleteMultiply by (sqrt(7)-1)/(sqrt(7)-1)
3(sqrt(7)-1)/6 reduces to (sqrt(7)-1)/2.
2) 4/(sqrt(6) + 2)
Multiply by (sqrt(6)-2)/(sqrt(6)-2)
4(sqrt(6)-2)/4 reduces to sqrt(6) - 2.
3) 12/(sqrt(10) - 2)
Multiply by (sqrt(10)+2)/(sqrt(10)+2)
12(sqrt(10) + 2)/6 reduces to 2sqrt(10) + 4.