Surds: Rationalising the Denominator (2) Silent Teacher Intelligent Practice Narration Your Turn 2 3+ 2 2 3− 2 Example For more videos visit mrbartonmaths.com/videos

6 3 +4 6 3 +5 6 4− 3 6 4+ 3 Worked Example Your Turn Rationalise the denominator: 6 4− 3 6 3 +4 Rationalise the denominator: 6 4+ 3 6 3 +5 @fortyninecubed

2 2 +3 2 3+ 2 2 3− 2 7 3− 2 7 2 −3 7 7 −3 7 7 −3 √5 5 −3 √5 5−√3 2√5 5−√3 4√5 5−√3 4 5 5−2 3 4√5 5−3√3 4√3 5−3√3 @fortyninecubed

2 2 +3 2 3+ 2 2 3− 2 7 3− 2 7 2 −3 7 7 −3 7 7 −3 6−2 2 7 6+2 2 7 3+√2 −3−√2 − 21+7 7 2 − 7+3 7 2 √5 5 −3 √5 5−√3 2√5 5−√3 4√5 5−√3 4 5 5−2 3 4√5 5−3√3 4√3 5−3√3 − 5+3 5 4 √15+5 5 22 √15+5 5 11 2√15+10 5 11 8√15+20 5 13 −6 15 −10 5 −18−10√3 @fortyninecubed