How do you simplify #(sqrt3 - sqrt5)(sqrt3-sqrt5)#?
2 Answers
Explanation:
Use FOIL (First, Outside, Inside, Last) to multiply the binomials.
(
Remember that the negative sign is part of the
First:
(
Outside:
(
Inside:
(
Last:
(
Add all the terms together and simplify.
8- 2
Explanation:
FOIL (First, Inner, Outer, Last)
- Multiply √3 by √3 to get √9.
- Multiply √3 by −√5 to get −√15
- Multiply √3 by −√5 to get −√15
4.Multiply −√5 by −√5 to get √25 - Simplify √9 and √25
- Add 3 and 5 (=8)
- Add like terms (−√15−√15= −2√15)
(√3−√5)(√3−√5)
1-4) √9−√15−√15+√25
5) 3−√15−√15+5
6) 8−√15−√15
7) 8−2√15